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Finding the Fourth Proportional to 313.75, 431.76 and 239.77

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Solution

The fourth proportional to 313.75, 431.76 and 239.77 is: 329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 431.76 = 239.77 : x
  2. Step 2: Convert to fraction form
    313.75/431.76 = 239.77/x
  3. Step 3: Cross multiply
    313.75x = 431.76 × 239.77
  4. Step 4: Simplify right side
    313.75x = 103,523.10
  5. Step 5: Solve for x
    x = 103,523.10/313.75
  6. Step 6: Final answer
    x = 329.95

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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.