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Finding the Fourth Proportional to 49.05, 73.62 and 23.40

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Solution

The fourth proportional to 49.05, 73.62 and 23.40 is: 35.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.05 : 73.62 = 23.40 : x
  2. Step 2: Convert to fraction form
    49.05/73.62 = 23.40/x
  3. Step 3: Cross multiply
    49.05x = 73.62 × 23.40
  4. Step 4: Simplify right side
    49.05x = 1,722.71
  5. Step 5: Solve for x
    x = 1,722.71/49.05
  6. Step 6: Final answer
    x = 35.12

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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.