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Finding the Fourth Proportional to 297.44, 448.72 and 265.76

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Solution

The fourth proportional to 297.44, 448.72 and 265.76 is: 400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.44 : 448.72 = 265.76 : x
  2. Step 2: Convert to fraction form
    297.44/448.72 = 265.76/x
  3. Step 3: Cross multiply
    297.44x = 448.72 × 265.76
  4. Step 4: Simplify right side
    297.44x = 119,251.83
  5. Step 5: Solve for x
    x = 119,251.83/297.44
  6. Step 6: Final answer
    x = 400.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.