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Finding the Fourth Proportional to 465.43, 642.12 and 278.86

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Solution

The fourth proportional to 465.43, 642.12 and 278.86 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.43 : 642.12 = 278.86 : x
  2. Step 2: Convert to fraction form
    465.43/642.12 = 278.86/x
  3. Step 3: Cross multiply
    465.43x = 642.12 × 278.86
  4. Step 4: Simplify right side
    465.43x = 179,061.58
  5. Step 5: Solve for x
    x = 179,061.58/465.43
  6. Step 6: Final answer
    x = 384.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.