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Finding the Fourth Proportional to 291.72, 402.63 and 167.47

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Solution

The fourth proportional to 291.72, 402.63 and 167.47 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.72 : 402.63 = 167.47 : x
  2. Step 2: Convert to fraction form
    291.72/402.63 = 167.47/x
  3. Step 3: Cross multiply
    291.72x = 402.63 × 167.47
  4. Step 4: Simplify right side
    291.72x = 67,426.85
  5. Step 5: Solve for x
    x = 67,426.85/291.72
  6. Step 6: Final answer
    x = 231.13

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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.