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Finding the Fourth Proportional to 264.89, 397.42 and 91.55

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Solution

The fourth proportional to 264.89, 397.42 and 91.55 is: 137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.89 : 397.42 = 91.55 : x
  2. Step 2: Convert to fraction form
    264.89/397.42 = 91.55/x
  3. Step 3: Cross multiply
    264.89x = 397.42 × 91.55
  4. Step 4: Simplify right side
    264.89x = 36,384.57
  5. Step 5: Solve for x
    x = 36,384.57/264.89
  6. Step 6: Final answer
    x = 137.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.