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Finding the Fourth Proportional to 147.51, 202.44 and 133.65

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Solution

The fourth proportional to 147.51, 202.44 and 133.65 is: 183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.51 : 202.44 = 133.65 : x
  2. Step 2: Convert to fraction form
    147.51/202.44 = 133.65/x
  3. Step 3: Cross multiply
    147.51x = 202.44 × 133.65
  4. Step 4: Simplify right side
    147.51x = 27,056.11
  5. Step 5: Solve for x
    x = 27,056.11/147.51
  6. Step 6: Final answer
    x = 183.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.