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Finding the Fourth Proportional to 387.12, 533.86 and 332.04

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Solution

The fourth proportional to 387.12, 533.86 and 332.04 is: 457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.12 : 533.86 = 332.04 : x
  2. Step 2: Convert to fraction form
    387.12/533.86 = 332.04/x
  3. Step 3: Cross multiply
    387.12x = 533.86 × 332.04
  4. Step 4: Simplify right side
    387.12x = 177,262.87
  5. Step 5: Solve for x
    x = 177,262.87/387.12
  6. Step 6: Final answer
    x = 457.90

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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.