Home / 498.09-747.15-209.53

Finding the Fourth Proportional to 498.09, 747.15 and 209.53

Calculator

Solution

The fourth proportional to 498.09, 747.15 and 209.53 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.09 : 747.15 = 209.53 : x
  2. Step 2: Convert to fraction form
    498.09/747.15 = 209.53/x
  3. Step 3: Cross multiply
    498.09x = 747.15 × 209.53
  4. Step 4: Simplify right side
    498.09x = 156,550.49
  5. Step 5: Solve for x
    x = 156,550.49/498.09
  6. Step 6: Final answer
    x = 314.30

Related Problems

Find fourth proportional to 249.05, 373.57 and 104.77
Half scale
Find fourth proportional to 996.19, 1,494.29 and 419.06
Double scale
Find fourth proportional to 499.09, 748.65 and 210.53
Similar ratio
Find fourth proportional to 747.14, 1,120.72 and 314.30
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.