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Finding the Fourth Proportional to 387.96, 534.74 and 332.76

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Solution

The fourth proportional to 387.96, 534.74 and 332.76 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.96 : 534.74 = 332.76 : x
  2. Step 2: Convert to fraction form
    387.96/534.74 = 332.76/x
  3. Step 3: Cross multiply
    387.96x = 534.74 × 332.76
  4. Step 4: Simplify right side
    387.96x = 177,940.08
  5. Step 5: Solve for x
    x = 177,940.08/387.96
  6. Step 6: Final answer
    x = 458.66

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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.