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Finding the Fourth Proportional to 173.74, 261.54 and 158.86

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Solution

The fourth proportional to 173.74, 261.54 and 158.86 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.74 : 261.54 = 158.86 : x
  2. Step 2: Convert to fraction form
    173.74/261.54 = 158.86/x
  3. Step 3: Cross multiply
    173.74x = 261.54 × 158.86
  4. Step 4: Simplify right side
    173.74x = 41,548.24
  5. Step 5: Solve for x
    x = 41,548.24/173.74
  6. Step 6: Final answer
    x = 239.14

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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.