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Finding the Fourth Proportional to 51.35, 70.88 and 34.97

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Solution

The fourth proportional to 51.35, 70.88 and 34.97 is: 48.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.35 : 70.88 = 34.97 : x
  2. Step 2: Convert to fraction form
    51.35/70.88 = 34.97/x
  3. Step 3: Cross multiply
    51.35x = 70.88 × 34.97
  4. Step 4: Simplify right side
    51.35x = 2,478.14
  5. Step 5: Solve for x
    x = 2,478.14/51.35
  6. Step 6: Final answer
    x = 48.26

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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.