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Finding the Fourth Proportional to 295.30, 405.80 and 239.92

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Solution

The fourth proportional to 295.30, 405.80 and 239.92 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.30 : 405.80 = 239.92 : x
  2. Step 2: Convert to fraction form
    295.30/405.80 = 239.92/x
  3. Step 3: Cross multiply
    295.30x = 405.80 × 239.92
  4. Step 4: Simplify right side
    295.30x = 97,359.54
  5. Step 5: Solve for x
    x = 97,359.54/295.30
  6. Step 6: Final answer
    x = 329.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.