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Finding the Fourth Proportional to 74.64, 102.88 and 72.72

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Solution

The fourth proportional to 74.64, 102.88 and 72.72 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.64 : 102.88 = 72.72 : x
  2. Step 2: Convert to fraction form
    74.64/102.88 = 72.72/x
  3. Step 3: Cross multiply
    74.64x = 102.88 × 72.72
  4. Step 4: Simplify right side
    74.64x = 7,481.43
  5. Step 5: Solve for x
    x = 7,481.43/74.64
  6. Step 6: Final answer
    x = 100.23

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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.