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Finding the Fourth Proportional to 387.29, 579.16 and 288.64

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Solution

The fourth proportional to 387.29, 579.16 and 288.64 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.29 : 579.16 = 288.64 : x
  2. Step 2: Convert to fraction form
    387.29/579.16 = 288.64/x
  3. Step 3: Cross multiply
    387.29x = 579.16 × 288.64
  4. Step 4: Simplify right side
    387.29x = 167,169.47
  5. Step 5: Solve for x
    x = 167,169.47/387.29
  6. Step 6: Final answer
    x = 431.63

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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.