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Finding the Fourth Proportional to 141.95, 213 and 50.72

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Solution

The fourth proportional to 141.95, 213 and 50.72 is: 76.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.95 : 213 = 50.72 : x
  2. Step 2: Convert to fraction form
    141.95/213 = 50.72/x
  3. Step 3: Cross multiply
    141.95x = 213 × 50.72
  4. Step 4: Simplify right side
    141.95x = 10,803.36
  5. Step 5: Solve for x
    x = 10,803.36/141.95
  6. Step 6: Final answer
    x = 76.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.