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Finding the Fourth Proportional to 101.83, 151.04 and 100.81

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Solution

The fourth proportional to 101.83, 151.04 and 100.81 is: 149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.83 : 151.04 = 100.81 : x
  2. Step 2: Convert to fraction form
    101.83/151.04 = 100.81/x
  3. Step 3: Cross multiply
    101.83x = 151.04 × 100.81
  4. Step 4: Simplify right side
    101.83x = 15,225.86
  5. Step 5: Solve for x
    x = 15,225.86/101.83
  6. Step 6: Final answer
    x = 149.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.