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Finding the Fourth Proportional to 173.48, 261.17 and 158.60

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Solution

The fourth proportional to 173.48, 261.17 and 158.60 is: 238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.48 : 261.17 = 158.60 : x
  2. Step 2: Convert to fraction form
    173.48/261.17 = 158.60/x
  3. Step 3: Cross multiply
    173.48x = 261.17 × 158.60
  4. Step 4: Simplify right side
    173.48x = 41,421.56
  5. Step 5: Solve for x
    x = 41,421.56/173.48
  6. Step 6: Final answer
    x = 238.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.