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Finding the Fourth Proportional to 99.02, 147.79 and 92.18

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Solution

The fourth proportional to 99.02, 147.79 and 92.18 is: 137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.02 : 147.79 = 92.18 : x
  2. Step 2: Convert to fraction form
    99.02/147.79 = 92.18/x
  3. Step 3: Cross multiply
    99.02x = 147.79 × 92.18
  4. Step 4: Simplify right side
    99.02x = 13,623.28
  5. Step 5: Solve for x
    x = 13,623.28/99.02
  6. Step 6: Final answer
    x = 137.58

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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.