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Finding the Fourth Proportional to 99.36, 147.96 and 99

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Solution

The fourth proportional to 99.36, 147.96 and 99 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.36 : 147.96 = 99 : x
  2. Step 2: Convert to fraction form
    99.36/147.96 = 99/x
  3. Step 3: Cross multiply
    99.36x = 147.96 × 99
  4. Step 4: Simplify right side
    99.36x = 14,648.04
  5. Step 5: Solve for x
    x = 14,648.04/99.36
  6. Step 6: Final answer
    x = 147.42

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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.