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Finding the Fourth Proportional to 100.80, 152.01 and 99.77

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Solution

The fourth proportional to 100.80, 152.01 and 99.77 is: 150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.80 : 152.01 = 99.77 : x
  2. Step 2: Convert to fraction form
    100.80/152.01 = 99.77/x
  3. Step 3: Cross multiply
    100.80x = 152.01 × 99.77
  4. Step 4: Simplify right side
    100.80x = 15,165.28
  5. Step 5: Solve for x
    x = 15,165.28/100.80
  6. Step 6: Final answer
    x = 150.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.