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Finding the Fourth Proportional to 98.51, 147.09 and 88.16

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Solution

The fourth proportional to 98.51, 147.09 and 88.16 is: 131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.51 : 147.09 = 88.16 : x
  2. Step 2: Convert to fraction form
    98.51/147.09 = 88.16/x
  3. Step 3: Cross multiply
    98.51x = 147.09 × 88.16
  4. Step 4: Simplify right side
    98.51x = 12,966.39
  5. Step 5: Solve for x
    x = 12,966.39/98.51
  6. Step 6: Final answer
    x = 131.63

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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.