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Finding the Fourth Proportional to 390.76, 585.38 and 236.23

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Solution

The fourth proportional to 390.76, 585.38 and 236.23 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.76 : 585.38 = 236.23 : x
  2. Step 2: Convert to fraction form
    390.76/585.38 = 236.23/x
  3. Step 3: Cross multiply
    390.76x = 585.38 × 236.23
  4. Step 4: Simplify right side
    390.76x = 138,284.32
  5. Step 5: Solve for x
    x = 138,284.32/390.76
  6. Step 6: Final answer
    x = 353.89

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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.