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Finding the Fourth Proportional to 463.15, 694.71 and 155.01

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Solution

The fourth proportional to 463.15, 694.71 and 155.01 is: 232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.15 : 694.71 = 155.01 : x
  2. Step 2: Convert to fraction form
    463.15/694.71 = 155.01/x
  3. Step 3: Cross multiply
    463.15x = 694.71 × 155.01
  4. Step 4: Simplify right side
    463.15x = 107,689.60
  5. Step 5: Solve for x
    x = 107,689.60/463.15
  6. Step 6: Final answer
    x = 232.51

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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.