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Finding the Fourth Proportional to 147.02, 221.70 and 144.99

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Solution

The fourth proportional to 147.02, 221.70 and 144.99 is: 218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 221.70 = 144.99 : x
  2. Step 2: Convert to fraction form
    147.02/221.70 = 144.99/x
  3. Step 3: Cross multiply
    147.02x = 221.70 × 144.99
  4. Step 4: Simplify right side
    147.02x = 32,144.28
  5. Step 5: Solve for x
    x = 32,144.28/147.02
  6. Step 6: Final answer
    x = 218.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.