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Finding the Fourth Proportional to 332.71, 459.27 and 285.90

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Solution

The fourth proportional to 332.71, 459.27 and 285.90 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.71 : 459.27 = 285.90 : x
  2. Step 2: Convert to fraction form
    332.71/459.27 = 285.90/x
  3. Step 3: Cross multiply
    332.71x = 459.27 × 285.90
  4. Step 4: Simplify right side
    332.71x = 131,301.57
  5. Step 5: Solve for x
    x = 131,301.57/332.71
  6. Step 6: Final answer
    x = 394.64

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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.