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Finding the Fourth Proportional to 101.78, 151.74 and 98.60

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Solution

The fourth proportional to 101.78, 151.74 and 98.60 is: 147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.78 : 151.74 = 98.60 : x
  2. Step 2: Convert to fraction form
    101.78/151.74 = 98.60/x
  3. Step 3: Cross multiply
    101.78x = 151.74 × 98.60
  4. Step 4: Simplify right side
    101.78x = 14,961.56
  5. Step 5: Solve for x
    x = 14,961.56/101.78
  6. Step 6: Final answer
    x = 147.00

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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.