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Finding the Fourth Proportional to 110.57, 152.79 and 97.05

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Solution

The fourth proportional to 110.57, 152.79 and 97.05 is: 134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.57 : 152.79 = 97.05 : x
  2. Step 2: Convert to fraction form
    110.57/152.79 = 97.05/x
  3. Step 3: Cross multiply
    110.57x = 152.79 × 97.05
  4. Step 4: Simplify right side
    110.57x = 14,827.62
  5. Step 5: Solve for x
    x = 14,827.62/110.57
  6. Step 6: Final answer
    x = 134.11

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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.