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Finding the Fourth Proportional to 458.92, 633.72 and 342.28

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Solution

The fourth proportional to 458.92, 633.72 and 342.28 is: 472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.92 : 633.72 = 342.28 : x
  2. Step 2: Convert to fraction form
    458.92/633.72 = 342.28/x
  3. Step 3: Cross multiply
    458.92x = 633.72 × 342.28
  4. Step 4: Simplify right side
    458.92x = 216,909.68
  5. Step 5: Solve for x
    x = 216,909.68/458.92
  6. Step 6: Final answer
    x = 472.65

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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.