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Finding the Fourth Proportional to 347.27, 478.91 and 230.63

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Solution

The fourth proportional to 347.27, 478.91 and 230.63 is: 318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.27 : 478.91 = 230.63 : x
  2. Step 2: Convert to fraction form
    347.27/478.91 = 230.63/x
  3. Step 3: Cross multiply
    347.27x = 478.91 × 230.63
  4. Step 4: Simplify right side
    347.27x = 110,451.01
  5. Step 5: Solve for x
    x = 110,451.01/347.27
  6. Step 6: Final answer
    x = 318.06

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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.