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Finding the Fourth Proportional to 51.22, 70.59 and 34.57

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Solution

The fourth proportional to 51.22, 70.59 and 34.57 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.22 : 70.59 = 34.57 : x
  2. Step 2: Convert to fraction form
    51.22/70.59 = 34.57/x
  3. Step 3: Cross multiply
    51.22x = 70.59 × 34.57
  4. Step 4: Simplify right side
    51.22x = 2,440.30
  5. Step 5: Solve for x
    x = 2,440.30/51.22
  6. Step 6: Final answer
    x = 47.64

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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.