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Finding the Fourth Proportional to 61.45, 91.40 and 55.68

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Solution

The fourth proportional to 61.45, 91.40 and 55.68 is: 82.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.45 : 91.40 = 55.68 : x
  2. Step 2: Convert to fraction form
    61.45/91.40 = 55.68/x
  3. Step 3: Cross multiply
    61.45x = 91.40 × 55.68
  4. Step 4: Simplify right side
    61.45x = 5,089.15
  5. Step 5: Solve for x
    x = 5,089.15/61.45
  6. Step 6: Final answer
    x = 82.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.