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Finding the Fourth Proportional to 152.02, 226.22 and 147.70

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Solution

The fourth proportional to 152.02, 226.22 and 147.70 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 226.22 = 147.70 : x
  2. Step 2: Convert to fraction form
    152.02/226.22 = 147.70/x
  3. Step 3: Cross multiply
    152.02x = 226.22 × 147.70
  4. Step 4: Simplify right side
    152.02x = 33,412.69
  5. Step 5: Solve for x
    x = 33,412.69/152.02
  6. Step 6: Final answer
    x = 219.79

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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.