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Finding the Fourth Proportional to 292.74, 401.34 and 288.48

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Solution

The fourth proportional to 292.74, 401.34 and 288.48 is: 395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 401.34 = 288.48 : x
  2. Step 2: Convert to fraction form
    292.74/401.34 = 288.48/x
  3. Step 3: Cross multiply
    292.74x = 401.34 × 288.48
  4. Step 4: Simplify right side
    292.74x = 115,778.56
  5. Step 5: Solve for x
    x = 115,778.56/292.74
  6. Step 6: Final answer
    x = 395.50

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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.