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Finding the Fourth Proportional to 113.18, 170.16 and 99.02

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Solution

The fourth proportional to 113.18, 170.16 and 99.02 is: 148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.18 : 170.16 = 99.02 : x
  2. Step 2: Convert to fraction form
    113.18/170.16 = 99.02/x
  3. Step 3: Cross multiply
    113.18x = 170.16 × 99.02
  4. Step 4: Simplify right side
    113.18x = 16,849.24
  5. Step 5: Solve for x
    x = 16,849.24/113.18
  6. Step 6: Final answer
    x = 148.87

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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.