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Finding the Fourth Proportional to 390.50, 585.12 and 236.06

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Solution

The fourth proportional to 390.50, 585.12 and 236.06 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.50 : 585.12 = 236.06 : x
  2. Step 2: Convert to fraction form
    390.50/585.12 = 236.06/x
  3. Step 3: Cross multiply
    390.50x = 585.12 × 236.06
  4. Step 4: Simplify right side
    390.50x = 138,123.43
  5. Step 5: Solve for x
    x = 138,123.43/390.50
  6. Step 6: Final answer
    x = 353.71

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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.