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Finding the Fourth Proportional to 390.74, 584.74 and 236.56

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Solution

The fourth proportional to 390.74, 584.74 and 236.56 is: 354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.74 : 584.74 = 236.56 : x
  2. Step 2: Convert to fraction form
    390.74/584.74 = 236.56/x
  3. Step 3: Cross multiply
    390.74x = 584.74 × 236.56
  4. Step 4: Simplify right side
    390.74x = 138,326.09
  5. Step 5: Solve for x
    x = 138,326.09/390.74
  6. Step 6: Final answer
    x = 354.01

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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.