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Finding the Fourth Proportional to 52.90, 78.77 and 50.39

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Solution

The fourth proportional to 52.90, 78.77 and 50.39 is: 75.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.90 : 78.77 = 50.39 : x
  2. Step 2: Convert to fraction form
    52.90/78.77 = 50.39/x
  3. Step 3: Cross multiply
    52.90x = 78.77 × 50.39
  4. Step 4: Simplify right side
    52.90x = 3,969.25
  5. Step 5: Solve for x
    x = 3,969.25/52.90
  6. Step 6: Final answer
    x = 75.03

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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.