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Finding the Fourth Proportional to 115.37, 173.06 and 74.87

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Solution

The fourth proportional to 115.37, 173.06 and 74.87 is: 112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.37 : 173.06 = 74.87 : x
  2. Step 2: Convert to fraction form
    115.37/173.06 = 74.87/x
  3. Step 3: Cross multiply
    115.37x = 173.06 × 74.87
  4. Step 4: Simplify right side
    115.37x = 12,955.76
  5. Step 5: Solve for x
    x = 12,955.76/115.37
  6. Step 6: Final answer
    x = 112.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.