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Finding the Fourth Proportional to 99.63, 149.24 and 96.59

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Solution

The fourth proportional to 99.63, 149.24 and 96.59 is: 144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.63 : 149.24 = 96.59 : x
  2. Step 2: Convert to fraction form
    99.63/149.24 = 96.59/x
  3. Step 3: Cross multiply
    99.63x = 149.24 × 96.59
  4. Step 4: Simplify right side
    99.63x = 14,415.71
  5. Step 5: Solve for x
    x = 14,415.71/99.63
  6. Step 6: Final answer
    x = 144.69

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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.