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Finding the Fourth Proportional to 53.14, 73.38 and 50.06

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Solution

The fourth proportional to 53.14, 73.38 and 50.06 is: 69.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 73.38 = 50.06 : x
  2. Step 2: Convert to fraction form
    53.14/73.38 = 50.06/x
  3. Step 3: Cross multiply
    53.14x = 73.38 × 50.06
  4. Step 4: Simplify right side
    53.14x = 3,673.40
  5. Step 5: Solve for x
    x = 3,673.40/53.14
  6. Step 6: Final answer
    x = 69.13

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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.