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Finding the Fourth Proportional to 34.59, 47.70 and 27.30

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Solution

The fourth proportional to 34.59, 47.70 and 27.30 is: 37.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.59 : 47.70 = 27.30 : x
  2. Step 2: Convert to fraction form
    34.59/47.70 = 27.30/x
  3. Step 3: Cross multiply
    34.59x = 47.70 × 27.30
  4. Step 4: Simplify right side
    34.59x = 1,302.21
  5. Step 5: Solve for x
    x = 1,302.21/34.59
  6. Step 6: Final answer
    x = 37.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.