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Finding the Fourth Proportional to 358.28, 495.06 and 279.78

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Solution

The fourth proportional to 358.28, 495.06 and 279.78 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.28 : 495.06 = 279.78 : x
  2. Step 2: Convert to fraction form
    358.28/495.06 = 279.78/x
  3. Step 3: Cross multiply
    358.28x = 495.06 × 279.78
  4. Step 4: Simplify right side
    358.28x = 138,507.89
  5. Step 5: Solve for x
    x = 138,507.89/358.28
  6. Step 6: Final answer
    x = 386.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.