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Finding the Fourth Proportional to 102.51, 152.87 and 100.17

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Solution

The fourth proportional to 102.51, 152.87 and 100.17 is: 149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.51 : 152.87 = 100.17 : x
  2. Step 2: Convert to fraction form
    102.51/152.87 = 100.17/x
  3. Step 3: Cross multiply
    102.51x = 152.87 × 100.17
  4. Step 4: Simplify right side
    102.51x = 15,312.49
  5. Step 5: Solve for x
    x = 15,312.49/102.51
  6. Step 6: Final answer
    x = 149.38

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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.