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Finding the Fourth Proportional to 99.50, 148.27 and 96.24

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Solution

The fourth proportional to 99.50, 148.27 and 96.24 is: 143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 148.27 = 96.24 : x
  2. Step 2: Convert to fraction form
    99.50/148.27 = 96.24/x
  3. Step 3: Cross multiply
    99.50x = 148.27 × 96.24
  4. Step 4: Simplify right side
    99.50x = 14,269.07
  5. Step 5: Solve for x
    x = 14,269.07/99.50
  6. Step 6: Final answer
    x = 143.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.