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Finding the Fourth Proportional to 290.31, 432.65 and 281.09

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Solution

The fourth proportional to 290.31, 432.65 and 281.09 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.31 : 432.65 = 281.09 : x
  2. Step 2: Convert to fraction form
    290.31/432.65 = 281.09/x
  3. Step 3: Cross multiply
    290.31x = 432.65 × 281.09
  4. Step 4: Simplify right side
    290.31x = 121,610.02
  5. Step 5: Solve for x
    x = 121,610.02/290.31
  6. Step 6: Final answer
    x = 418.90

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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.