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Finding the Fourth Proportional to 50.49, 75.29 and 47.16

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Solution

The fourth proportional to 50.49, 75.29 and 47.16 is: 70.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.49 : 75.29 = 47.16 : x
  2. Step 2: Convert to fraction form
    50.49/75.29 = 47.16/x
  3. Step 3: Cross multiply
    50.49x = 75.29 × 47.16
  4. Step 4: Simplify right side
    50.49x = 3,550.44
  5. Step 5: Solve for x
    x = 3,550.44/50.49
  6. Step 6: Final answer
    x = 70.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.