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Finding the Fourth Proportional to 71.60, 98.91 and 55.35

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Solution

The fourth proportional to 71.60, 98.91 and 55.35 is: 76.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.60 : 98.91 = 55.35 : x
  2. Step 2: Convert to fraction form
    71.60/98.91 = 55.35/x
  3. Step 3: Cross multiply
    71.60x = 98.91 × 55.35
  4. Step 4: Simplify right side
    71.60x = 5,474.67
  5. Step 5: Solve for x
    x = 5,474.67/71.60
  6. Step 6: Final answer
    x = 76.47

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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.