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Finding the Fourth Proportional to 295.92, 440.46 and 288.24

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Solution

The fourth proportional to 295.92, 440.46 and 288.24 is: 429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 440.46 = 288.24 : x
  2. Step 2: Convert to fraction form
    295.92/440.46 = 288.24/x
  3. Step 3: Cross multiply
    295.92x = 440.46 × 288.24
  4. Step 4: Simplify right side
    295.92x = 126,958.19
  5. Step 5: Solve for x
    x = 126,958.19/295.92
  6. Step 6: Final answer
    x = 429.03

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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.