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Finding the Fourth Proportional to 67.83, 102.29 and 57.84

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Solution

The fourth proportional to 67.83, 102.29 and 57.84 is: 87.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.83 : 102.29 = 57.84 : x
  2. Step 2: Convert to fraction form
    67.83/102.29 = 57.84/x
  3. Step 3: Cross multiply
    67.83x = 102.29 × 57.84
  4. Step 4: Simplify right side
    67.83x = 5,916.45
  5. Step 5: Solve for x
    x = 5,916.45/67.83
  6. Step 6: Final answer
    x = 87.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.