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Finding the Fourth Proportional to 379.71, 569.04 and 288.11

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Solution

The fourth proportional to 379.71, 569.04 and 288.11 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.71 : 569.04 = 288.11 : x
  2. Step 2: Convert to fraction form
    379.71/569.04 = 288.11/x
  3. Step 3: Cross multiply
    379.71x = 569.04 × 288.11
  4. Step 4: Simplify right side
    379.71x = 163,943.27
  5. Step 5: Solve for x
    x = 163,943.27/379.71
  6. Step 6: Final answer
    x = 431.76

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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.