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Finding the Fourth Proportional to 379.24, 568.66 and 286.72

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Solution

The fourth proportional to 379.24, 568.66 and 286.72 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.24 : 568.66 = 286.72 : x
  2. Step 2: Convert to fraction form
    379.24/568.66 = 286.72/x
  3. Step 3: Cross multiply
    379.24x = 568.66 × 286.72
  4. Step 4: Simplify right side
    379.24x = 163,046.20
  5. Step 5: Solve for x
    x = 163,046.20/379.24
  6. Step 6: Final answer
    x = 429.93

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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.