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Finding the Fourth Proportional to 99.58, 148.59 and 89.32

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Solution

The fourth proportional to 99.58, 148.59 and 89.32 is: 133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.58 : 148.59 = 89.32 : x
  2. Step 2: Convert to fraction form
    99.58/148.59 = 89.32/x
  3. Step 3: Cross multiply
    99.58x = 148.59 × 89.32
  4. Step 4: Simplify right side
    99.58x = 13,272.06
  5. Step 5: Solve for x
    x = 13,272.06/99.58
  6. Step 6: Final answer
    x = 133.28

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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.