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Finding the Fourth Proportional to 390.44, 585.43 and 170.95

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Solution

The fourth proportional to 390.44, 585.43 and 170.95 is: 256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.44 : 585.43 = 170.95 : x
  2. Step 2: Convert to fraction form
    390.44/585.43 = 170.95/x
  3. Step 3: Cross multiply
    390.44x = 585.43 × 170.95
  4. Step 4: Simplify right side
    390.44x = 100,078.47
  5. Step 5: Solve for x
    x = 100,078.47/390.44
  6. Step 6: Final answer
    x = 256.32

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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.