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Finding the Fourth Proportional to 157.17, 235.39 and 99.19

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Solution

The fourth proportional to 157.17, 235.39 and 99.19 is: 148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 235.39 = 99.19 : x
  2. Step 2: Convert to fraction form
    157.17/235.39 = 99.19/x
  3. Step 3: Cross multiply
    157.17x = 235.39 × 99.19
  4. Step 4: Simplify right side
    157.17x = 23,348.33
  5. Step 5: Solve for x
    x = 23,348.33/157.17
  6. Step 6: Final answer
    x = 148.55

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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.