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Finding the Fourth Proportional to 173.40, 260.16 and 87.90

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Solution

The fourth proportional to 173.40, 260.16 and 87.90 is: 131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.40 : 260.16 = 87.90 : x
  2. Step 2: Convert to fraction form
    173.40/260.16 = 87.90/x
  3. Step 3: Cross multiply
    173.40x = 260.16 × 87.90
  4. Step 4: Simplify right side
    173.40x = 22,868.06
  5. Step 5: Solve for x
    x = 22,868.06/173.40
  6. Step 6: Final answer
    x = 131.88

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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.