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Finding the Fourth Proportional to 326.00, 487.01 and 320.24

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Solution

The fourth proportional to 326.00, 487.01 and 320.24 is: 478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.00 : 487.01 = 320.24 : x
  2. Step 2: Convert to fraction form
    326.00/487.01 = 320.24/x
  3. Step 3: Cross multiply
    326.00x = 487.01 × 320.24
  4. Step 4: Simplify right side
    326.00x = 155,956.05
  5. Step 5: Solve for x
    x = 155,956.05/326.00
  6. Step 6: Final answer
    x = 478.40

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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.