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Finding the Fourth Proportional to 326.50, 487.76 and 320.74

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Solution

The fourth proportional to 326.50, 487.76 and 320.74 is: 479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 487.76 = 320.74 : x
  2. Step 2: Convert to fraction form
    326.50/487.76 = 320.74/x
  3. Step 3: Cross multiply
    326.50x = 487.76 × 320.74
  4. Step 4: Simplify right side
    326.50x = 156,444.14
  5. Step 5: Solve for x
    x = 156,444.14/326.50
  6. Step 6: Final answer
    x = 479.16

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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.