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Finding the Fourth Proportional to 326.66, 487.65 and 315.26

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Solution

The fourth proportional to 326.66, 487.65 and 315.26 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.66 : 487.65 = 315.26 : x
  2. Step 2: Convert to fraction form
    326.66/487.65 = 315.26/x
  3. Step 3: Cross multiply
    326.66x = 487.65 × 315.26
  4. Step 4: Simplify right side
    326.66x = 153,734.96
  5. Step 5: Solve for x
    x = 153,734.96/326.66
  6. Step 6: Final answer
    x = 470.63

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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.