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Finding the Fourth Proportional to 75.31, 112.84 and 42.84

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Solution

The fourth proportional to 75.31, 112.84 and 42.84 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.31 : 112.84 = 42.84 : x
  2. Step 2: Convert to fraction form
    75.31/112.84 = 42.84/x
  3. Step 3: Cross multiply
    75.31x = 112.84 × 42.84
  4. Step 4: Simplify right side
    75.31x = 4,834.07
  5. Step 5: Solve for x
    x = 4,834.07/75.31
  6. Step 6: Final answer
    x = 64.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.