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Finding the Fourth Proportional to 98.48, 147.52 and 90.60

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Solution

The fourth proportional to 98.48, 147.52 and 90.60 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.48 : 147.52 = 90.60 : x
  2. Step 2: Convert to fraction form
    98.48/147.52 = 90.60/x
  3. Step 3: Cross multiply
    98.48x = 147.52 × 90.60
  4. Step 4: Simplify right side
    98.48x = 13,365.31
  5. Step 5: Solve for x
    x = 13,365.31/98.48
  6. Step 6: Final answer
    x = 135.72

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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.