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Finding the Fourth Proportional to 448.92, 672.02 and 265.77

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Solution

The fourth proportional to 448.92, 672.02 and 265.77 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 672.02 = 265.77 : x
  2. Step 2: Convert to fraction form
    448.92/672.02 = 265.77/x
  3. Step 3: Cross multiply
    448.92x = 672.02 × 265.77
  4. Step 4: Simplify right side
    448.92x = 178,601.43
  5. Step 5: Solve for x
    x = 178,601.43/448.92
  6. Step 6: Final answer
    x = 397.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.