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Finding the Fourth Proportional to 113.82, 170.66 and 53

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Solution

The fourth proportional to 113.82, 170.66 and 53 is: 79.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.82 : 170.66 = 53 : x
  2. Step 2: Convert to fraction form
    113.82/170.66 = 53/x
  3. Step 3: Cross multiply
    113.82x = 170.66 × 53
  4. Step 4: Simplify right side
    113.82x = 9,044.98
  5. Step 5: Solve for x
    x = 9,044.98/113.82
  6. Step 6: Final answer
    x = 79.47

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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.