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Finding the Fourth Proportional to 105.30, 158.20 and 99.48

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Solution

The fourth proportional to 105.30, 158.20 and 99.48 is: 149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 158.20 = 99.48 : x
  2. Step 2: Convert to fraction form
    105.30/158.20 = 99.48/x
  3. Step 3: Cross multiply
    105.30x = 158.20 × 99.48
  4. Step 4: Simplify right side
    105.30x = 15,737.17
  5. Step 5: Solve for x
    x = 15,737.17/105.30
  6. Step 6: Final answer
    x = 149.45

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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.