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Finding the Fourth Proportional to 468.88, 647.07 and 272.38

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Solution

The fourth proportional to 468.88, 647.07 and 272.38 is: 375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 647.07 = 272.38 : x
  2. Step 2: Convert to fraction form
    468.88/647.07 = 272.38/x
  3. Step 3: Cross multiply
    468.88x = 647.07 × 272.38
  4. Step 4: Simplify right side
    468.88x = 176,248.93
  5. Step 5: Solve for x
    x = 176,248.93/468.88
  6. Step 6: Final answer
    x = 375.89

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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.