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Finding the Fourth Proportional to 49.64, 74.93 and 49.37

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Solution

The fourth proportional to 49.64, 74.93 and 49.37 is: 74.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.64 : 74.93 = 49.37 : x
  2. Step 2: Convert to fraction form
    49.64/74.93 = 49.37/x
  3. Step 3: Cross multiply
    49.64x = 74.93 × 49.37
  4. Step 4: Simplify right side
    49.64x = 3,698.67
  5. Step 5: Solve for x
    x = 3,698.67/49.64
  6. Step 6: Final answer
    x = 74.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.