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Finding the Fourth Proportional to 53.19, 73.27 and 50.76

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Solution

The fourth proportional to 53.19, 73.27 and 50.76 is: 69.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.19 : 73.27 = 50.76 : x
  2. Step 2: Convert to fraction form
    53.19/73.27 = 50.76/x
  3. Step 3: Cross multiply
    53.19x = 73.27 × 50.76
  4. Step 4: Simplify right side
    53.19x = 3,719.19
  5. Step 5: Solve for x
    x = 3,719.19/53.19
  6. Step 6: Final answer
    x = 69.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.