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Finding the Fourth Proportional to 458.24, 633.28 and 381.12

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Solution

The fourth proportional to 458.24, 633.28 and 381.12 is: 526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.24 : 633.28 = 381.12 : x
  2. Step 2: Convert to fraction form
    458.24/633.28 = 381.12/x
  3. Step 3: Cross multiply
    458.24x = 633.28 × 381.12
  4. Step 4: Simplify right side
    458.24x = 241,355.67
  5. Step 5: Solve for x
    x = 241,355.67/458.24
  6. Step 6: Final answer
    x = 526.70

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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.