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Finding the Fourth Proportional to 312.56, 430.80 and 254.24

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Solution

The fourth proportional to 312.56, 430.80 and 254.24 is: 350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 430.80 = 254.24 : x
  2. Step 2: Convert to fraction form
    312.56/430.80 = 254.24/x
  3. Step 3: Cross multiply
    312.56x = 430.80 × 254.24
  4. Step 4: Simplify right side
    312.56x = 109,526.59
  5. Step 5: Solve for x
    x = 109,526.59/312.56
  6. Step 6: Final answer
    x = 350.42

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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.