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Finding the Fourth Proportional to 50.78, 75.64 and 50.42

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Solution

The fourth proportional to 50.78, 75.64 and 50.42 is: 75.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 75.64 = 50.42 : x
  2. Step 2: Convert to fraction form
    50.78/75.64 = 50.42/x
  3. Step 3: Cross multiply
    50.78x = 75.64 × 50.42
  4. Step 4: Simplify right side
    50.78x = 3,813.77
  5. Step 5: Solve for x
    x = 3,813.77/50.78
  6. Step 6: Final answer
    x = 75.10

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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.