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Finding the Fourth Proportional to 45.78, 68.54 and 35.66

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Solution

The fourth proportional to 45.78, 68.54 and 35.66 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.78 : 68.54 = 35.66 : x
  2. Step 2: Convert to fraction form
    45.78/68.54 = 35.66/x
  3. Step 3: Cross multiply
    45.78x = 68.54 × 35.66
  4. Step 4: Simplify right side
    45.78x = 2,443.62
  5. Step 5: Solve for x
    x = 2,443.62/45.78
  6. Step 6: Final answer
    x = 53.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.