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Finding the Fourth Proportional to 358.24, 493.52 and 280.48

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Solution

The fourth proportional to 358.24, 493.52 and 280.48 is: 386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 493.52 = 280.48 : x
  2. Step 2: Convert to fraction form
    358.24/493.52 = 280.48/x
  3. Step 3: Cross multiply
    358.24x = 493.52 × 280.48
  4. Step 4: Simplify right side
    358.24x = 138,422.49
  5. Step 5: Solve for x
    x = 138,422.49/358.24
  6. Step 6: Final answer
    x = 386.40

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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.