Home / 314.09-471.16-97.82

Finding the Fourth Proportional to 314.09, 471.16 and 97.82

Calculator

Solution

The fourth proportional to 314.09, 471.16 and 97.82 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.09 : 471.16 = 97.82 : x
  2. Step 2: Convert to fraction form
    314.09/471.16 = 97.82/x
  3. Step 3: Cross multiply
    314.09x = 471.16 × 97.82
  4. Step 4: Simplify right side
    314.09x = 46,088.87
  5. Step 5: Solve for x
    x = 46,088.87/314.09
  6. Step 6: Final answer
    x = 146.74

Related Problems

Find fourth proportional to 157.05, 235.58 and 48.91
Half scale
Find fourth proportional to 628.18, 942.32 and 195.64
Double scale
Find fourth proportional to 315.09, 472.66 and 98.82
Similar ratio
Find fourth proportional to 471.14, 706.74 and 146.73
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.