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Finding the Fourth Proportional to 174.28, 261 and 97.06

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Solution

The fourth proportional to 174.28, 261 and 97.06 is: 145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.28 : 261 = 97.06 : x
  2. Step 2: Convert to fraction form
    174.28/261 = 97.06/x
  3. Step 3: Cross multiply
    174.28x = 261 × 97.06
  4. Step 4: Simplify right side
    174.28x = 25,332.66
  5. Step 5: Solve for x
    x = 25,332.66/174.28
  6. Step 6: Final answer
    x = 145.36

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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.