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Finding the Fourth Proportional to 99.40, 148.20 and 89.16

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Solution

The fourth proportional to 99.40, 148.20 and 89.16 is: 132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.40 : 148.20 = 89.16 : x
  2. Step 2: Convert to fraction form
    99.40/148.20 = 89.16/x
  3. Step 3: Cross multiply
    99.40x = 148.20 × 89.16
  4. Step 4: Simplify right side
    99.40x = 13,213.51
  5. Step 5: Solve for x
    x = 13,213.51/99.40
  6. Step 6: Final answer
    x = 132.93

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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.