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Finding the Fourth Proportional to 347.20, 478.90 and 230.76

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Solution

The fourth proportional to 347.20, 478.90 and 230.76 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.20 : 478.90 = 230.76 : x
  2. Step 2: Convert to fraction form
    347.20/478.90 = 230.76/x
  3. Step 3: Cross multiply
    347.20x = 478.90 × 230.76
  4. Step 4: Simplify right side
    347.20x = 110,510.96
  5. Step 5: Solve for x
    x = 110,510.96/347.20
  6. Step 6: Final answer
    x = 318.29

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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.