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Finding the Fourth Proportional to 149.02, 221.77 and 144.70

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Solution

The fourth proportional to 149.02, 221.77 and 144.70 is: 215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.02 : 221.77 = 144.70 : x
  2. Step 2: Convert to fraction form
    149.02/221.77 = 144.70/x
  3. Step 3: Cross multiply
    149.02x = 221.77 × 144.70
  4. Step 4: Simplify right side
    149.02x = 32,090.12
  5. Step 5: Solve for x
    x = 32,090.12/149.02
  6. Step 6: Final answer
    x = 215.34

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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.