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Finding the Fourth Proportional to 319.32, 477.90 and 278.28

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Solution

The fourth proportional to 319.32, 477.90 and 278.28 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 477.90 = 278.28 : x
  2. Step 2: Convert to fraction form
    319.32/477.90 = 278.28/x
  3. Step 3: Cross multiply
    319.32x = 477.90 × 278.28
  4. Step 4: Simplify right side
    319.32x = 132,990.01
  5. Step 5: Solve for x
    x = 132,990.01/319.32
  6. Step 6: Final answer
    x = 416.48

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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.