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Finding the Fourth Proportional to 174.36, 261.30 and 78

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Solution

The fourth proportional to 174.36, 261.30 and 78 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.36 : 261.30 = 78 : x
  2. Step 2: Convert to fraction form
    174.36/261.30 = 78/x
  3. Step 3: Cross multiply
    174.36x = 261.30 × 78
  4. Step 4: Simplify right side
    174.36x = 20,381.40
  5. Step 5: Solve for x
    x = 20,381.40/174.36
  6. Step 6: Final answer
    x = 116.89

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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.