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Finding the Fourth Proportional to 390.98, 585.96 and 159.80

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Solution

The fourth proportional to 390.98, 585.96 and 159.80 is: 239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.98 : 585.96 = 159.80 : x
  2. Step 2: Convert to fraction form
    390.98/585.96 = 159.80/x
  3. Step 3: Cross multiply
    390.98x = 585.96 × 159.80
  4. Step 4: Simplify right side
    390.98x = 93,636.41
  5. Step 5: Solve for x
    x = 93,636.41/390.98
  6. Step 6: Final answer
    x = 239.49

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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.