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Finding the Fourth Proportional to 353.65, 488.08 and 342.31

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Solution

The fourth proportional to 353.65, 488.08 and 342.31 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.65 : 488.08 = 342.31 : x
  2. Step 2: Convert to fraction form
    353.65/488.08 = 342.31/x
  3. Step 3: Cross multiply
    353.65x = 488.08 × 342.31
  4. Step 4: Simplify right side
    353.65x = 167,073.81
  5. Step 5: Solve for x
    x = 167,073.81/353.65
  6. Step 6: Final answer
    x = 472.43

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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.