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Finding the Fourth Proportional to 174.39, 260.31 and 156.16

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Solution

The fourth proportional to 174.39, 260.31 and 156.16 is: 233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.39 : 260.31 = 156.16 : x
  2. Step 2: Convert to fraction form
    174.39/260.31 = 156.16/x
  3. Step 3: Cross multiply
    174.39x = 260.31 × 156.16
  4. Step 4: Simplify right side
    174.39x = 40,650.01
  5. Step 5: Solve for x
    x = 40,650.01/174.39
  6. Step 6: Final answer
    x = 233.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.