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Finding the Fourth Proportional to 459.24, 633.76 and 252.24

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Solution

The fourth proportional to 459.24, 633.76 and 252.24 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 633.76 = 252.24 : x
  2. Step 2: Convert to fraction form
    459.24/633.76 = 252.24/x
  3. Step 3: Cross multiply
    459.24x = 633.76 × 252.24
  4. Step 4: Simplify right side
    459.24x = 159,859.62
  5. Step 5: Solve for x
    x = 159,859.62/459.24
  6. Step 6: Final answer
    x = 348.10

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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.