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Finding the Fourth Proportional to 34.16, 47.08 and 33.56

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Solution

The fourth proportional to 34.16, 47.08 and 33.56 is: 46.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.16 : 47.08 = 33.56 : x
  2. Step 2: Convert to fraction form
    34.16/47.08 = 33.56/x
  3. Step 3: Cross multiply
    34.16x = 47.08 × 33.56
  4. Step 4: Simplify right side
    34.16x = 1,580.00
  5. Step 5: Solve for x
    x = 1,580.00/34.16
  6. Step 6: Final answer
    x = 46.25

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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.