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Finding the Fourth Proportional to 100.42, 137.66 and 98.58

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Solution

The fourth proportional to 100.42, 137.66 and 98.58 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.42 : 137.66 = 98.58 : x
  2. Step 2: Convert to fraction form
    100.42/137.66 = 98.58/x
  3. Step 3: Cross multiply
    100.42x = 137.66 × 98.58
  4. Step 4: Simplify right side
    100.42x = 13,570.52
  5. Step 5: Solve for x
    x = 13,570.52/100.42
  6. Step 6: Final answer
    x = 135.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.