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Finding the Fourth Proportional to 463.61, 695.18 and 155.36

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Solution

The fourth proportional to 463.61, 695.18 and 155.36 is: 232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.61 : 695.18 = 155.36 : x
  2. Step 2: Convert to fraction form
    463.61/695.18 = 155.36/x
  3. Step 3: Cross multiply
    463.61x = 695.18 × 155.36
  4. Step 4: Simplify right side
    463.61x = 108,003.16
  5. Step 5: Solve for x
    x = 108,003.16/463.61
  6. Step 6: Final answer
    x = 232.96

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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.