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Finding the Fourth Proportional to 292.59, 398.36 and 291.68

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Solution

The fourth proportional to 292.59, 398.36 and 291.68 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 398.36 = 291.68 : x
  2. Step 2: Convert to fraction form
    292.59/398.36 = 291.68/x
  3. Step 3: Cross multiply
    292.59x = 398.36 × 291.68
  4. Step 4: Simplify right side
    292.59x = 116,192.38
  5. Step 5: Solve for x
    x = 116,192.38/292.59
  6. Step 6: Final answer
    x = 397.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.