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Finding the Fourth Proportional to 314.54, 471.20 and 232.13

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Solution

The fourth proportional to 314.54, 471.20 and 232.13 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 471.20 = 232.13 : x
  2. Step 2: Convert to fraction form
    314.54/471.20 = 232.13/x
  3. Step 3: Cross multiply
    314.54x = 471.20 × 232.13
  4. Step 4: Simplify right side
    314.54x = 109,379.66
  5. Step 5: Solve for x
    x = 109,379.66/314.54
  6. Step 6: Final answer
    x = 347.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.