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Finding the Fourth Proportional to 463.89, 695.87 and 139.25

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Solution

The fourth proportional to 463.89, 695.87 and 139.25 is: 208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 695.87 = 139.25 : x
  2. Step 2: Convert to fraction form
    463.89/695.87 = 139.25/x
  3. Step 3: Cross multiply
    463.89x = 695.87 × 139.25
  4. Step 4: Simplify right side
    463.89x = 96,901.07
  5. Step 5: Solve for x
    x = 96,901.07/463.89
  6. Step 6: Final answer
    x = 208.89

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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.