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Finding the Fourth Proportional to 448.27, 671.69 and 285.86

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Solution

The fourth proportional to 448.27, 671.69 and 285.86 is: 428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.27 : 671.69 = 285.86 : x
  2. Step 2: Convert to fraction form
    448.27/671.69 = 285.86/x
  3. Step 3: Cross multiply
    448.27x = 671.69 × 285.86
  4. Step 4: Simplify right side
    448.27x = 192,011.70
  5. Step 5: Solve for x
    x = 192,011.70/448.27
  6. Step 6: Final answer
    x = 428.34

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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.