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Finding the Fourth Proportional to 50.32, 74.99 and 49.24

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Solution

The fourth proportional to 50.32, 74.99 and 49.24 is: 73.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.32 : 74.99 = 49.24 : x
  2. Step 2: Convert to fraction form
    50.32/74.99 = 49.24/x
  3. Step 3: Cross multiply
    50.32x = 74.99 × 49.24
  4. Step 4: Simplify right side
    50.32x = 3,692.51
  5. Step 5: Solve for x
    x = 3,692.51/50.32
  6. Step 6: Final answer
    x = 73.38

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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.