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Finding the Fourth Proportional to 47.10, 70.54 and 30.79

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Solution

The fourth proportional to 47.10, 70.54 and 30.79 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 70.54 = 30.79 : x
  2. Step 2: Convert to fraction form
    47.10/70.54 = 30.79/x
  3. Step 3: Cross multiply
    47.10x = 70.54 × 30.79
  4. Step 4: Simplify right side
    47.10x = 2,171.93
  5. Step 5: Solve for x
    x = 2,171.93/47.10
  6. Step 6: Final answer
    x = 46.11

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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.