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Finding the Fourth Proportional to 74.51, 111.76 and 22.45

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Solution

The fourth proportional to 74.51, 111.76 and 22.45 is: 33.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.51 : 111.76 = 22.45 : x
  2. Step 2: Convert to fraction form
    74.51/111.76 = 22.45/x
  3. Step 3: Cross multiply
    74.51x = 111.76 × 22.45
  4. Step 4: Simplify right side
    74.51x = 2,509.01
  5. Step 5: Solve for x
    x = 2,509.01/74.51
  6. Step 6: Final answer
    x = 33.67

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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.