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Finding the Fourth Proportional to 192.74, 290.13 and 147.65

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Solution

The fourth proportional to 192.74, 290.13 and 147.65 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 290.13 = 147.65 : x
  2. Step 2: Convert to fraction form
    192.74/290.13 = 147.65/x
  3. Step 3: Cross multiply
    192.74x = 290.13 × 147.65
  4. Step 4: Simplify right side
    192.74x = 42,835.69
  5. Step 5: Solve for x
    x = 42,835.69/192.74
  6. Step 6: Final answer
    x = 222.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.