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Finding the Fourth Proportional to 353.98, 487.43 and 280.06

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Solution

The fourth proportional to 353.98, 487.43 and 280.06 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.98 : 487.43 = 280.06 : x
  2. Step 2: Convert to fraction form
    353.98/487.43 = 280.06/x
  3. Step 3: Cross multiply
    353.98x = 487.43 × 280.06
  4. Step 4: Simplify right side
    353.98x = 136,509.65
  5. Step 5: Solve for x
    x = 136,509.65/353.98
  6. Step 6: Final answer
    x = 385.64

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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.