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Finding the Fourth Proportional to 347.74, 477.23 and 314.92

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Solution

The fourth proportional to 347.74, 477.23 and 314.92 is: 432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.74 : 477.23 = 314.92 : x
  2. Step 2: Convert to fraction form
    347.74/477.23 = 314.92/x
  3. Step 3: Cross multiply
    347.74x = 477.23 × 314.92
  4. Step 4: Simplify right side
    347.74x = 150,289.27
  5. Step 5: Solve for x
    x = 150,289.27/347.74
  6. Step 6: Final answer
    x = 432.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.