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Finding the Fourth Proportional to 113.99, 158.21 and 109.53

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Solution

The fourth proportional to 113.99, 158.21 and 109.53 is: 152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.99 : 158.21 = 109.53 : x
  2. Step 2: Convert to fraction form
    113.99/158.21 = 109.53/x
  3. Step 3: Cross multiply
    113.99x = 158.21 × 109.53
  4. Step 4: Simplify right side
    113.99x = 17,328.60
  5. Step 5: Solve for x
    x = 17,328.60/113.99
  6. Step 6: Final answer
    x = 152.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.