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Finding the Fourth Proportional to 294.24, 439.20 and 285.12

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Solution

The fourth proportional to 294.24, 439.20 and 285.12 is: 425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.24 : 439.20 = 285.12 : x
  2. Step 2: Convert to fraction form
    294.24/439.20 = 285.12/x
  3. Step 3: Cross multiply
    294.24x = 439.20 × 285.12
  4. Step 4: Simplify right side
    294.24x = 125,224.70
  5. Step 5: Solve for x
    x = 125,224.70/294.24
  6. Step 6: Final answer
    x = 425.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.