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Finding the Fourth Proportional to 174.21, 261.32 and 78.01

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Solution

The fourth proportional to 174.21, 261.32 and 78.01 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.21 : 261.32 = 78.01 : x
  2. Step 2: Convert to fraction form
    174.21/261.32 = 78.01/x
  3. Step 3: Cross multiply
    174.21x = 261.32 × 78.01
  4. Step 4: Simplify right side
    174.21x = 20,385.57
  5. Step 5: Solve for x
    x = 20,385.57/174.21
  6. Step 6: Final answer
    x = 117.02

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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.