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Finding the Fourth Proportional to 301.52, 448.76 and 295.12

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Solution

The fourth proportional to 301.52, 448.76 and 295.12 is: 439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 448.76 = 295.12 : x
  2. Step 2: Convert to fraction form
    301.52/448.76 = 295.12/x
  3. Step 3: Cross multiply
    301.52x = 448.76 × 295.12
  4. Step 4: Simplify right side
    301.52x = 132,438.05
  5. Step 5: Solve for x
    x = 132,438.05/301.52
  6. Step 6: Final answer
    x = 439.23

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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.