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Finding the Fourth Proportional to 315.72, 471.33 and 294.46

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Solution

The fourth proportional to 315.72, 471.33 and 294.46 is: 439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 471.33 = 294.46 : x
  2. Step 2: Convert to fraction form
    315.72/471.33 = 294.46/x
  3. Step 3: Cross multiply
    315.72x = 471.33 × 294.46
  4. Step 4: Simplify right side
    315.72x = 138,786.65
  5. Step 5: Solve for x
    x = 138,786.65/315.72
  6. Step 6: Final answer
    x = 439.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.