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Finding the Fourth Proportional to 102.04, 152.29 and 88.36

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Solution

The fourth proportional to 102.04, 152.29 and 88.36 is: 131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 152.29 = 88.36 : x
  2. Step 2: Convert to fraction form
    102.04/152.29 = 88.36/x
  3. Step 3: Cross multiply
    102.04x = 152.29 × 88.36
  4. Step 4: Simplify right side
    102.04x = 13,456.34
  5. Step 5: Solve for x
    x = 13,456.34/102.04
  6. Step 6: Final answer
    x = 131.87

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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.