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Finding the Fourth Proportional to 147.47, 221.27 and 50.00

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Solution

The fourth proportional to 147.47, 221.27 and 50.00 is: 75.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.47 : 221.27 = 50.00 : x
  2. Step 2: Convert to fraction form
    147.47/221.27 = 50.00/x
  3. Step 3: Cross multiply
    147.47x = 221.27 × 50.00
  4. Step 4: Simplify right side
    147.47x = 11,062.14
  5. Step 5: Solve for x
    x = 11,062.14/147.47
  6. Step 6: Final answer
    x = 75.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.