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Finding the Fourth Proportional to 99.70, 150.09 and 91.18

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Solution

The fourth proportional to 99.70, 150.09 and 91.18 is: 137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.70 : 150.09 = 91.18 : x
  2. Step 2: Convert to fraction form
    99.70/150.09 = 91.18/x
  3. Step 3: Cross multiply
    99.70x = 150.09 × 91.18
  4. Step 4: Simplify right side
    99.70x = 13,685.21
  5. Step 5: Solve for x
    x = 13,685.21/99.70
  6. Step 6: Final answer
    x = 137.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.