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Finding the Fourth Proportional to 312.25, 430.91 and 174.25

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Solution

The fourth proportional to 312.25, 430.91 and 174.25 is: 240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 430.91 = 174.25 : x
  2. Step 2: Convert to fraction form
    312.25/430.91 = 174.25/x
  3. Step 3: Cross multiply
    312.25x = 430.91 × 174.25
  4. Step 4: Simplify right side
    312.25x = 75,085.20
  5. Step 5: Solve for x
    x = 75,085.20/312.25
  6. Step 6: Final answer
    x = 240.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.