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Finding the Fourth Proportional to 115.01, 159.74 and 111.77

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Solution

The fourth proportional to 115.01, 159.74 and 111.77 is: 155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.01 : 159.74 = 111.77 : x
  2. Step 2: Convert to fraction form
    115.01/159.74 = 111.77/x
  3. Step 3: Cross multiply
    115.01x = 159.74 × 111.77
  4. Step 4: Simplify right side
    115.01x = 17,853.67
  5. Step 5: Solve for x
    x = 17,853.67/115.01
  6. Step 6: Final answer
    x = 155.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.