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Finding the Fourth Proportional to 49.79, 74.31 and 45.51

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Solution

The fourth proportional to 49.79, 74.31 and 45.51 is: 67.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.79 : 74.31 = 45.51 : x
  2. Step 2: Convert to fraction form
    49.79/74.31 = 45.51/x
  3. Step 3: Cross multiply
    49.79x = 74.31 × 45.51
  4. Step 4: Simplify right side
    49.79x = 3,382.02
  5. Step 5: Solve for x
    x = 3,382.02/49.79
  6. Step 6: Final answer
    x = 67.93

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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.