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Finding the Fourth Proportional to 320.37, 478.85 and 278.91

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Solution

The fourth proportional to 320.37, 478.85 and 278.91 is: 416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.37 : 478.85 = 278.91 : x
  2. Step 2: Convert to fraction form
    320.37/478.85 = 278.91/x
  3. Step 3: Cross multiply
    320.37x = 478.85 × 278.91
  4. Step 4: Simplify right side
    320.37x = 133,554.66
  5. Step 5: Solve for x
    x = 133,554.66/320.37
  6. Step 6: Final answer
    x = 416.88

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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.