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Finding the Fourth Proportional to 173.47, 260.16 and 70.78

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Solution

The fourth proportional to 173.47, 260.16 and 70.78 is: 106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.47 : 260.16 = 70.78 : x
  2. Step 2: Convert to fraction form
    173.47/260.16 = 70.78/x
  3. Step 3: Cross multiply
    173.47x = 260.16 × 70.78
  4. Step 4: Simplify right side
    173.47x = 18,414.12
  5. Step 5: Solve for x
    x = 18,414.12/173.47
  6. Step 6: Final answer
    x = 106.15

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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.