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Finding the Fourth Proportional to 100.77, 150.53 and 100.30

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Solution

The fourth proportional to 100.77, 150.53 and 100.30 is: 149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 150.53 = 100.30 : x
  2. Step 2: Convert to fraction form
    100.77/150.53 = 100.30/x
  3. Step 3: Cross multiply
    100.77x = 150.53 × 100.30
  4. Step 4: Simplify right side
    100.77x = 15,098.16
  5. Step 5: Solve for x
    x = 15,098.16/100.77
  6. Step 6: Final answer
    x = 149.83

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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.