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Finding the Fourth Proportional to 295.19, 443.42 and 285.47

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Solution

The fourth proportional to 295.19, 443.42 and 285.47 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.19 : 443.42 = 285.47 : x
  2. Step 2: Convert to fraction form
    295.19/443.42 = 285.47/x
  3. Step 3: Cross multiply
    295.19x = 443.42 × 285.47
  4. Step 4: Simplify right side
    295.19x = 126,586.30
  5. Step 5: Solve for x
    x = 126,586.30/295.19
  6. Step 6: Final answer
    x = 428.82

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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.