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Finding the Fourth Proportional to 291.47, 402.17 and 186.55

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Solution

The fourth proportional to 291.47, 402.17 and 186.55 is: 257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 402.17 = 186.55 : x
  2. Step 2: Convert to fraction form
    291.47/402.17 = 186.55/x
  3. Step 3: Cross multiply
    291.47x = 402.17 × 186.55
  4. Step 4: Simplify right side
    291.47x = 75,022.88
  5. Step 5: Solve for x
    x = 75,022.88/291.47
  6. Step 6: Final answer
    x = 257.40

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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.