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Finding the Fourth Proportional to 283.83, 422.57 and 282.45

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Solution

The fourth proportional to 283.83, 422.57 and 282.45 is: 420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.83 : 422.57 = 282.45 : x
  2. Step 2: Convert to fraction form
    283.83/422.57 = 282.45/x
  3. Step 3: Cross multiply
    283.83x = 422.57 × 282.45
  4. Step 4: Simplify right side
    283.83x = 119,354.90
  5. Step 5: Solve for x
    x = 119,354.90/283.83
  6. Step 6: Final answer
    x = 420.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.