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Finding the Fourth Proportional to 115.74, 159.87 and 105.35

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Solution

The fourth proportional to 115.74, 159.87 and 105.35 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.74 : 159.87 = 105.35 : x
  2. Step 2: Convert to fraction form
    115.74/159.87 = 105.35/x
  3. Step 3: Cross multiply
    115.74x = 159.87 × 105.35
  4. Step 4: Simplify right side
    115.74x = 16,841.51
  5. Step 5: Solve for x
    x = 16,841.51/115.74
  6. Step 6: Final answer
    x = 145.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.