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Finding the Fourth Proportional to 75.84, 113.78 and 30.20

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Solution

The fourth proportional to 75.84, 113.78 and 30.20 is: 45.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 113.78 = 30.20 : x
  2. Step 2: Convert to fraction form
    75.84/113.78 = 30.20/x
  3. Step 3: Cross multiply
    75.84x = 113.78 × 30.20
  4. Step 4: Simplify right side
    75.84x = 3,435.66
  5. Step 5: Solve for x
    x = 3,435.66/75.84
  6. Step 6: Final answer
    x = 45.30

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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.