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Finding the Fourth Proportional to 495.28, 741.36 and 278.20

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Solution

The fourth proportional to 495.28, 741.36 and 278.20 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 741.36 = 278.20 : x
  2. Step 2: Convert to fraction form
    495.28/741.36 = 278.20/x
  3. Step 3: Cross multiply
    495.28x = 741.36 × 278.20
  4. Step 4: Simplify right side
    495.28x = 206,246.35
  5. Step 5: Solve for x
    x = 206,246.35/495.28
  6. Step 6: Final answer
    x = 416.42

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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.