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Finding the Fourth Proportional to 349.74, 482.72 and 280.26

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Solution

The fourth proportional to 349.74, 482.72 and 280.26 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.74 : 482.72 = 280.26 : x
  2. Step 2: Convert to fraction form
    349.74/482.72 = 280.26/x
  3. Step 3: Cross multiply
    349.74x = 482.72 × 280.26
  4. Step 4: Simplify right side
    349.74x = 135,285.71
  5. Step 5: Solve for x
    x = 135,285.71/349.74
  6. Step 6: Final answer
    x = 386.82

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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.