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Finding the Fourth Proportional to 295.62, 440.39 and 282.29

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Solution

The fourth proportional to 295.62, 440.39 and 282.29 is: 420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.62 : 440.39 = 282.29 : x
  2. Step 2: Convert to fraction form
    295.62/440.39 = 282.29/x
  3. Step 3: Cross multiply
    295.62x = 440.39 × 282.29
  4. Step 4: Simplify right side
    295.62x = 124,319.13
  5. Step 5: Solve for x
    x = 124,319.13/295.62
  6. Step 6: Final answer
    x = 420.54

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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.