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Finding the Fourth Proportional to 463.42, 695.14 and 139.02

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Solution

The fourth proportional to 463.42, 695.14 and 139.02 is: 208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.42 : 695.14 = 139.02 : x
  2. Step 2: Convert to fraction form
    463.42/695.14 = 139.02/x
  3. Step 3: Cross multiply
    463.42x = 695.14 × 139.02
  4. Step 4: Simplify right side
    463.42x = 96,635.41
  5. Step 5: Solve for x
    x = 96,635.41/463.42
  6. Step 6: Final answer
    x = 208.53

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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.