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Finding the Fourth Proportional to 390.78, 585.89 and 185.24

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Solution

The fourth proportional to 390.78, 585.89 and 185.24 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 585.89 = 185.24 : x
  2. Step 2: Convert to fraction form
    390.78/585.89 = 185.24/x
  3. Step 3: Cross multiply
    390.78x = 585.89 × 185.24
  4. Step 4: Simplify right side
    390.78x = 108,530.26
  5. Step 5: Solve for x
    x = 108,530.26/390.78
  6. Step 6: Final answer
    x = 277.73

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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.