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Finding the Fourth Proportional to 402.72, 558.42 and 378.24

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Solution

The fourth proportional to 402.72, 558.42 and 378.24 is: 524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.72 : 558.42 = 378.24 : x
  2. Step 2: Convert to fraction form
    402.72/558.42 = 378.24/x
  3. Step 3: Cross multiply
    402.72x = 558.42 × 378.24
  4. Step 4: Simplify right side
    402.72x = 211,216.78
  5. Step 5: Solve for x
    x = 211,216.78/402.72
  6. Step 6: Final answer
    x = 524.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.