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Finding the Fourth Proportional to 290.38, 432.64 and 271.76

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Solution

The fourth proportional to 290.38, 432.64 and 271.76 is: 404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.38 : 432.64 = 271.76 : x
  2. Step 2: Convert to fraction form
    290.38/432.64 = 271.76/x
  3. Step 3: Cross multiply
    290.38x = 432.64 × 271.76
  4. Step 4: Simplify right side
    290.38x = 117,574.25
  5. Step 5: Solve for x
    x = 117,574.25/290.38
  6. Step 6: Final answer
    x = 404.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.