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Finding the Fourth Proportional to 149.24, 222.58 and 147.80

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Solution

The fourth proportional to 149.24, 222.58 and 147.80 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.24 : 222.58 = 147.80 : x
  2. Step 2: Convert to fraction form
    149.24/222.58 = 147.80/x
  3. Step 3: Cross multiply
    149.24x = 222.58 × 147.80
  4. Step 4: Simplify right side
    149.24x = 32,897.32
  5. Step 5: Solve for x
    x = 32,897.32/149.24
  6. Step 6: Final answer
    x = 220.43

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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.