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Finding the Fourth Proportional to 304.38, 454.01 and 295.29

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Solution

The fourth proportional to 304.38, 454.01 and 295.29 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 454.01 = 295.29 : x
  2. Step 2: Convert to fraction form
    304.38/454.01 = 295.29/x
  3. Step 3: Cross multiply
    304.38x = 454.01 × 295.29
  4. Step 4: Simplify right side
    304.38x = 134,063.14
  5. Step 5: Solve for x
    x = 134,063.14/304.38
  6. Step 6: Final answer
    x = 440.45

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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.