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Finding the Fourth Proportional to 332.89, 459.71 and 314.71

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Solution

The fourth proportional to 332.89, 459.71 and 314.71 is: 434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.89 : 459.71 = 314.71 : x
  2. Step 2: Convert to fraction form
    332.89/459.71 = 314.71/x
  3. Step 3: Cross multiply
    332.89x = 459.71 × 314.71
  4. Step 4: Simplify right side
    332.89x = 144,673.76
  5. Step 5: Solve for x
    x = 144,673.76/332.89
  6. Step 6: Final answer
    x = 434.60

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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.