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Finding the Fourth Proportional to 115.98, 159.81 and 89.74

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Solution

The fourth proportional to 115.98, 159.81 and 89.74 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 159.81 = 89.74 : x
  2. Step 2: Convert to fraction form
    115.98/159.81 = 89.74/x
  3. Step 3: Cross multiply
    115.98x = 159.81 × 89.74
  4. Step 4: Simplify right side
    115.98x = 14,341.35
  5. Step 5: Solve for x
    x = 14,341.35/115.98
  6. Step 6: Final answer
    x = 123.65

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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.