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Finding the Fourth Proportional to 442.96, 611.57 and 285.65

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Solution

The fourth proportional to 442.96, 611.57 and 285.65 is: 394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.96 : 611.57 = 285.65 : x
  2. Step 2: Convert to fraction form
    442.96/611.57 = 285.65/x
  3. Step 3: Cross multiply
    442.96x = 611.57 × 285.65
  4. Step 4: Simplify right side
    442.96x = 174,695.07
  5. Step 5: Solve for x
    x = 174,695.07/442.96
  6. Step 6: Final answer
    x = 394.38

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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.