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Finding the Fourth Proportional to 35.44, 52.78 and 35.06

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Solution

The fourth proportional to 35.44, 52.78 and 35.06 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.44 : 52.78 = 35.06 : x
  2. Step 2: Convert to fraction form
    35.44/52.78 = 35.06/x
  3. Step 3: Cross multiply
    35.44x = 52.78 × 35.06
  4. Step 4: Simplify right side
    35.44x = 1,850.18
  5. Step 5: Solve for x
    x = 1,850.18/35.44
  6. Step 6: Final answer
    x = 52.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.