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Finding the Fourth Proportional to 102.77, 153.22 and 100.16

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Solution

The fourth proportional to 102.77, 153.22 and 100.16 is: 149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 153.22 = 100.16 : x
  2. Step 2: Convert to fraction form
    102.77/153.22 = 100.16/x
  3. Step 3: Cross multiply
    102.77x = 153.22 × 100.16
  4. Step 4: Simplify right side
    102.77x = 15,346.52
  5. Step 5: Solve for x
    x = 15,346.52/102.77
  6. Step 6: Final answer
    x = 149.33

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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.