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Finding the Fourth Proportional to 105.68, 157.42 and 100.77

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Solution

The fourth proportional to 105.68, 157.42 and 100.77 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 157.42 = 100.77 : x
  2. Step 2: Convert to fraction form
    105.68/157.42 = 100.77/x
  3. Step 3: Cross multiply
    105.68x = 157.42 × 100.77
  4. Step 4: Simplify right side
    105.68x = 15,862.91
  5. Step 5: Solve for x
    x = 15,862.91/105.68
  6. Step 6: Final answer
    x = 150.10

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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.