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Finding the Fourth Proportional to 50.02, 75.03 and 41.47

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Solution

The fourth proportional to 50.02, 75.03 and 41.47 is: 62.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.02 : 75.03 = 41.47 : x
  2. Step 2: Convert to fraction form
    50.02/75.03 = 41.47/x
  3. Step 3: Cross multiply
    50.02x = 75.03 × 41.47
  4. Step 4: Simplify right side
    50.02x = 3,111.68
  5. Step 5: Solve for x
    x = 3,111.68/50.02
  6. Step 6: Final answer
    x = 62.21

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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.