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Finding the Fourth Proportional to 101.91, 151.80 and 101.55

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Solution

The fourth proportional to 101.91, 151.80 and 101.55 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 151.80 = 101.55 : x
  2. Step 2: Convert to fraction form
    101.91/151.80 = 101.55/x
  3. Step 3: Cross multiply
    101.91x = 151.80 × 101.55
  4. Step 4: Simplify right side
    101.91x = 15,415.29
  5. Step 5: Solve for x
    x = 15,415.29/101.91
  6. Step 6: Final answer
    x = 151.26

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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.