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Finding the Fourth Proportional to 74.64, 112.05 and 55.60

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Solution

The fourth proportional to 74.64, 112.05 and 55.60 is: 83.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.64 : 112.05 = 55.60 : x
  2. Step 2: Convert to fraction form
    74.64/112.05 = 55.60/x
  3. Step 3: Cross multiply
    74.64x = 112.05 × 55.60
  4. Step 4: Simplify right side
    74.64x = 6,229.98
  5. Step 5: Solve for x
    x = 6,229.98/74.64
  6. Step 6: Final answer
    x = 83.47

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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.