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Finding the Fourth Proportional to 332.09, 458.51 and 207.80

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Solution

The fourth proportional to 332.09, 458.51 and 207.80 is: 286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.09 : 458.51 = 207.80 : x
  2. Step 2: Convert to fraction form
    332.09/458.51 = 207.80/x
  3. Step 3: Cross multiply
    332.09x = 458.51 × 207.80
  4. Step 4: Simplify right side
    332.09x = 95,278.38
  5. Step 5: Solve for x
    x = 95,278.38/332.09
  6. Step 6: Final answer
    x = 286.91

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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.