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Finding the Fourth Proportional to 326.90, 487.16 and 317.01

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Solution

The fourth proportional to 326.90, 487.16 and 317.01 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 487.16 = 317.01 : x
  2. Step 2: Convert to fraction form
    326.90/487.16 = 317.01/x
  3. Step 3: Cross multiply
    326.90x = 487.16 × 317.01
  4. Step 4: Simplify right side
    326.90x = 154,434.59
  5. Step 5: Solve for x
    x = 154,434.59/326.90
  6. Step 6: Final answer
    x = 472.43

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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.