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Finding the Fourth Proportional to 102.36, 152.82 and 86.16

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Solution

The fourth proportional to 102.36, 152.82 and 86.16 is: 128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.36 : 152.82 = 86.16 : x
  2. Step 2: Convert to fraction form
    102.36/152.82 = 86.16/x
  3. Step 3: Cross multiply
    102.36x = 152.82 × 86.16
  4. Step 4: Simplify right side
    102.36x = 13,166.97
  5. Step 5: Solve for x
    x = 13,166.97/102.36
  6. Step 6: Final answer
    x = 128.63

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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.