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Finding the Fourth Proportional to 99.22, 148.79 and 45.16

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Solution

The fourth proportional to 99.22, 148.79 and 45.16 is: 67.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.22 : 148.79 = 45.16 : x
  2. Step 2: Convert to fraction form
    99.22/148.79 = 45.16/x
  3. Step 3: Cross multiply
    99.22x = 148.79 × 45.16
  4. Step 4: Simplify right side
    99.22x = 6,719.36
  5. Step 5: Solve for x
    x = 6,719.36/99.22
  6. Step 6: Final answer
    x = 67.72

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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.