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Finding the Fourth Proportional to 349.84, 483.20 and 284.60

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Solution

The fourth proportional to 349.84, 483.20 and 284.60 is: 393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.84 : 483.20 = 284.60 : x
  2. Step 2: Convert to fraction form
    349.84/483.20 = 284.60/x
  3. Step 3: Cross multiply
    349.84x = 483.20 × 284.60
  4. Step 4: Simplify right side
    349.84x = 137,518.72
  5. Step 5: Solve for x
    x = 137,518.72/349.84
  6. Step 6: Final answer
    x = 393.09

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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.