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Finding the Fourth Proportional to 56.78, 85.50 and 51.42

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Solution

The fourth proportional to 56.78, 85.50 and 51.42 is: 77.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.78 : 85.50 = 51.42 : x
  2. Step 2: Convert to fraction form
    56.78/85.50 = 51.42/x
  3. Step 3: Cross multiply
    56.78x = 85.50 × 51.42
  4. Step 4: Simplify right side
    56.78x = 4,396.41
  5. Step 5: Solve for x
    x = 4,396.41/56.78
  6. Step 6: Final answer
    x = 77.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.