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Finding the Fourth Proportional to 47.20, 72.20 and 47.20

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Solution

The fourth proportional to 47.20, 72.20 and 47.20 is: 72.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.20 : 72.20 = 47.20 : x
  2. Step 2: Convert to fraction form
    47.20/72.20 = 47.20/x
  3. Step 3: Cross multiply
    47.20x = 72.20 × 47.20
  4. Step 4: Simplify right side
    47.20x = 3,407.84
  5. Step 5: Solve for x
    x = 3,407.84/47.20
  6. Step 6: Final answer
    x = 72.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.