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Finding the Fourth Proportional to 347.76, 479.90 and 231.30

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Solution

The fourth proportional to 347.76, 479.90 and 231.30 is: 319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.76 : 479.90 = 231.30 : x
  2. Step 2: Convert to fraction form
    347.76/479.90 = 231.30/x
  3. Step 3: Cross multiply
    347.76x = 479.90 × 231.30
  4. Step 4: Simplify right side
    347.76x = 111,000.87
  5. Step 5: Solve for x
    x = 111,000.87/347.76
  6. Step 6: Final answer
    x = 319.19

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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.