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Finding the Fourth Proportional to 101.39, 150.98 and 98.55

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Solution

The fourth proportional to 101.39, 150.98 and 98.55 is: 146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.39 : 150.98 = 98.55 : x
  2. Step 2: Convert to fraction form
    101.39/150.98 = 98.55/x
  3. Step 3: Cross multiply
    101.39x = 150.98 × 98.55
  4. Step 4: Simplify right side
    101.39x = 14,878.59
  5. Step 5: Solve for x
    x = 14,878.59/101.39
  6. Step 6: Final answer
    x = 146.75

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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.