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Finding the Fourth Proportional to 52.84, 78.72 and 50.25

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Solution

The fourth proportional to 52.84, 78.72 and 50.25 is: 74.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.84 : 78.72 = 50.25 : x
  2. Step 2: Convert to fraction form
    52.84/78.72 = 50.25/x
  3. Step 3: Cross multiply
    52.84x = 78.72 × 50.25
  4. Step 4: Simplify right side
    52.84x = 3,955.68
  5. Step 5: Solve for x
    x = 3,955.68/52.84
  6. Step 6: Final answer
    x = 74.87

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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.