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Finding the Fourth Proportional to 52.36, 78.89 and 50.74

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Solution

The fourth proportional to 52.36, 78.89 and 50.74 is: 76.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.36 : 78.89 = 50.74 : x
  2. Step 2: Convert to fraction form
    52.36/78.89 = 50.74/x
  3. Step 3: Cross multiply
    52.36x = 78.89 × 50.74
  4. Step 4: Simplify right side
    52.36x = 4,002.88
  5. Step 5: Solve for x
    x = 4,002.88/52.36
  6. Step 6: Final answer
    x = 76.45

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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.