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Finding the Fourth Proportional to 387.53, 533.16 and 321.92

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Solution

The fourth proportional to 387.53, 533.16 and 321.92 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.53 : 533.16 = 321.92 : x
  2. Step 2: Convert to fraction form
    387.53/533.16 = 321.92/x
  3. Step 3: Cross multiply
    387.53x = 533.16 × 321.92
  4. Step 4: Simplify right side
    387.53x = 171,636.29
  5. Step 5: Solve for x
    x = 171,636.29/387.53
  6. Step 6: Final answer
    x = 442.89

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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.