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Finding the Fourth Proportional to 99.23, 148.39 and 71.89

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Solution

The fourth proportional to 99.23, 148.39 and 71.89 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.23 : 148.39 = 71.89 : x
  2. Step 2: Convert to fraction form
    99.23/148.39 = 71.89/x
  3. Step 3: Cross multiply
    99.23x = 148.39 × 71.89
  4. Step 4: Simplify right side
    99.23x = 10,667.40
  5. Step 5: Solve for x
    x = 10,667.40/99.23
  6. Step 6: Final answer
    x = 107.50

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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.