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Finding the Fourth Proportional to 283.10, 422.01 and 279.86

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Solution

The fourth proportional to 283.10, 422.01 and 279.86 is: 417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 422.01 = 279.86 : x
  2. Step 2: Convert to fraction form
    283.10/422.01 = 279.86/x
  3. Step 3: Cross multiply
    283.10x = 422.01 × 279.86
  4. Step 4: Simplify right side
    283.10x = 118,101.61
  5. Step 5: Solve for x
    x = 118,101.61/283.10
  6. Step 6: Final answer
    x = 417.18

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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.