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Finding the Fourth Proportional to 293.01, 404.33 and 189.51

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Solution

The fourth proportional to 293.01, 404.33 and 189.51 is: 261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.01 : 404.33 = 189.51 : x
  2. Step 2: Convert to fraction form
    293.01/404.33 = 189.51/x
  3. Step 3: Cross multiply
    293.01x = 404.33 × 189.51
  4. Step 4: Simplify right side
    293.01x = 76,623.63
  5. Step 5: Solve for x
    x = 76,623.63/293.01
  6. Step 6: Final answer
    x = 261.51

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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.