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Finding the Fourth Proportional to 353.68, 487.92 and 309.88

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Solution

The fourth proportional to 353.68, 487.92 and 309.88 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 487.92 = 309.88 : x
  2. Step 2: Convert to fraction form
    353.68/487.92 = 309.88/x
  3. Step 3: Cross multiply
    353.68x = 487.92 × 309.88
  4. Step 4: Simplify right side
    353.68x = 151,196.65
  5. Step 5: Solve for x
    x = 151,196.65/353.68
  6. Step 6: Final answer
    x = 427.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.