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Finding the Fourth Proportional to 390.20, 585.03 and 159.02

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Solution

The fourth proportional to 390.20, 585.03 and 159.02 is: 238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 585.03 = 159.02 : x
  2. Step 2: Convert to fraction form
    390.20/585.03 = 159.02/x
  3. Step 3: Cross multiply
    390.20x = 585.03 × 159.02
  4. Step 4: Simplify right side
    390.20x = 93,032.93
  5. Step 5: Solve for x
    x = 93,032.93/390.20
  6. Step 6: Final answer
    x = 238.42

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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.