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Finding the Fourth Proportional to 349.53, 482.46 and 280.08

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Solution

The fourth proportional to 349.53, 482.46 and 280.08 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.53 : 482.46 = 280.08 : x
  2. Step 2: Convert to fraction form
    349.53/482.46 = 280.08/x
  3. Step 3: Cross multiply
    349.53x = 482.46 × 280.08
  4. Step 4: Simplify right side
    349.53x = 135,127.40
  5. Step 5: Solve for x
    x = 135,127.40/349.53
  6. Step 6: Final answer
    x = 386.60

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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.