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Finding the Fourth Proportional to 390.38, 585.88 and 287.94

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Solution

The fourth proportional to 390.38, 585.88 and 287.94 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.38 : 585.88 = 287.94 : x
  2. Step 2: Convert to fraction form
    390.38/585.88 = 287.94/x
  3. Step 3: Cross multiply
    390.38x = 585.88 × 287.94
  4. Step 4: Simplify right side
    390.38x = 168,698.29
  5. Step 5: Solve for x
    x = 168,698.29/390.38
  6. Step 6: Final answer
    x = 432.14

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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.