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Finding the Fourth Proportional to 133.02, 183.56 and 74.80

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Solution

The fourth proportional to 133.02, 183.56 and 74.80 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 183.56 = 74.80 : x
  2. Step 2: Convert to fraction form
    133.02/183.56 = 74.80/x
  3. Step 3: Cross multiply
    133.02x = 183.56 × 74.80
  4. Step 4: Simplify right side
    133.02x = 13,730.29
  5. Step 5: Solve for x
    x = 13,730.29/133.02
  6. Step 6: Final answer
    x = 103.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.