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Finding the Fourth Proportional to 98.73, 147.38 and 90.23

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Solution

The fourth proportional to 98.73, 147.38 and 90.23 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.73 : 147.38 = 90.23 : x
  2. Step 2: Convert to fraction form
    98.73/147.38 = 90.23/x
  3. Step 3: Cross multiply
    98.73x = 147.38 × 90.23
  4. Step 4: Simplify right side
    98.73x = 13,296.91
  5. Step 5: Solve for x
    x = 13,296.91/98.73
  6. Step 6: Final answer
    x = 134.68

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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.