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Finding the Fourth Proportional to 98.63, 147.27 and 88.28

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Solution

The fourth proportional to 98.63, 147.27 and 88.28 is: 131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.63 : 147.27 = 88.28 : x
  2. Step 2: Convert to fraction form
    98.63/147.27 = 88.28/x
  3. Step 3: Cross multiply
    98.63x = 147.27 × 88.28
  4. Step 4: Simplify right side
    98.63x = 13,001.22
  5. Step 5: Solve for x
    x = 13,001.22/98.63
  6. Step 6: Final answer
    x = 131.82

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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.