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Finding the Fourth Proportional to 462.38, 637.95 and 285.28

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Solution

The fourth proportional to 462.38, 637.95 and 285.28 is: 393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 637.95 = 285.28 : x
  2. Step 2: Convert to fraction form
    462.38/637.95 = 285.28/x
  3. Step 3: Cross multiply
    462.38x = 637.95 × 285.28
  4. Step 4: Simplify right side
    462.38x = 181,994.38
  5. Step 5: Solve for x
    x = 181,994.38/462.38
  6. Step 6: Final answer
    x = 393.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.