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Finding the Fourth Proportional to 290.68, 432.97 and 290.12

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Solution

The fourth proportional to 290.68, 432.97 and 290.12 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.68 : 432.97 = 290.12 : x
  2. Step 2: Convert to fraction form
    290.68/432.97 = 290.12/x
  3. Step 3: Cross multiply
    290.68x = 432.97 × 290.12
  4. Step 4: Simplify right side
    290.68x = 125,613.26
  5. Step 5: Solve for x
    x = 125,613.26/290.68
  6. Step 6: Final answer
    x = 432.14

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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.