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Finding the Fourth Proportional to 390.80, 585.99 and 159.56

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Solution

The fourth proportional to 390.80, 585.99 and 159.56 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.80 : 585.99 = 159.56 : x
  2. Step 2: Convert to fraction form
    390.80/585.99 = 159.56/x
  3. Step 3: Cross multiply
    390.80x = 585.99 × 159.56
  4. Step 4: Simplify right side
    390.80x = 93,500.56
  5. Step 5: Solve for x
    x = 93,500.56/390.80
  6. Step 6: Final answer
    x = 239.25

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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.