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Finding the Fourth Proportional to 52.74, 73.22 and 50.58

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Solution

The fourth proportional to 52.74, 73.22 and 50.58 is: 70.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.74 : 73.22 = 50.58 : x
  2. Step 2: Convert to fraction form
    52.74/73.22 = 50.58/x
  3. Step 3: Cross multiply
    52.74x = 73.22 × 50.58
  4. Step 4: Simplify right side
    52.74x = 3,703.21
  5. Step 5: Solve for x
    x = 3,703.21/52.74
  6. Step 6: Final answer
    x = 70.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.