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Finding the Fourth Proportional to 378.27, 566.33 and 320.49

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Solution

The fourth proportional to 378.27, 566.33 and 320.49 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 566.33 = 320.49 : x
  2. Step 2: Convert to fraction form
    378.27/566.33 = 320.49/x
  3. Step 3: Cross multiply
    378.27x = 566.33 × 320.49
  4. Step 4: Simplify right side
    378.27x = 181,501.50
  5. Step 5: Solve for x
    x = 181,501.50/378.27
  6. Step 6: Final answer
    x = 479.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.