Home / 209.52-314-117.06

Finding the Fourth Proportional to 209.52, 314 and 117.06

Calculator

Solution

The fourth proportional to 209.52, 314 and 117.06 is: 175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 314 = 117.06 : x
  2. Step 2: Convert to fraction form
    209.52/314 = 117.06/x
  3. Step 3: Cross multiply
    209.52x = 314 × 117.06
  4. Step 4: Simplify right side
    209.52x = 36,756.84
  5. Step 5: Solve for x
    x = 36,756.84/209.52
  6. Step 6: Final answer
    x = 175.43

Related Problems

Find fourth proportional to 104.76, 157 and 58.53
Half scale
Find fourth proportional to 419.04, 628 and 234.12
Double scale
Find fourth proportional to 210.52, 315.50 and 118.06
Similar ratio
Find fourth proportional to 314.28, 471 and 175.59
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.