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Finding the Fourth Proportional to 295.04, 407.04 and 225.92

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Solution

The fourth proportional to 295.04, 407.04 and 225.92 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 407.04 = 225.92 : x
  2. Step 2: Convert to fraction form
    295.04/407.04 = 225.92/x
  3. Step 3: Cross multiply
    295.04x = 407.04 × 225.92
  4. Step 4: Simplify right side
    295.04x = 91,958.48
  5. Step 5: Solve for x
    x = 91,958.48/295.04
  6. Step 6: Final answer
    x = 311.68

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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.