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Finding the Fourth Proportional to 158.70, 236.40 and 150.80

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Solution

The fourth proportional to 158.70, 236.40 and 150.80 is: 224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 236.40 = 150.80 : x
  2. Step 2: Convert to fraction form
    158.70/236.40 = 150.80/x
  3. Step 3: Cross multiply
    158.70x = 236.40 × 150.80
  4. Step 4: Simplify right side
    158.70x = 35,649.12
  5. Step 5: Solve for x
    x = 35,649.12/158.70
  6. Step 6: Final answer
    x = 224.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.