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Finding the Fourth Proportional to 483.35, 667 and 284.17

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Solution

The fourth proportional to 483.35, 667 and 284.17 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.35 : 667 = 284.17 : x
  2. Step 2: Convert to fraction form
    483.35/667 = 284.17/x
  3. Step 3: Cross multiply
    483.35x = 667 × 284.17
  4. Step 4: Simplify right side
    483.35x = 189,541.39
  5. Step 5: Solve for x
    x = 189,541.39/483.35
  6. Step 6: Final answer
    x = 392.14

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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.