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Finding the Fourth Proportional to 288.78, 398.21 and 265.37

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Solution

The fourth proportional to 288.78, 398.21 and 265.37 is: 365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 398.21 = 265.37 : x
  2. Step 2: Convert to fraction form
    288.78/398.21 = 265.37/x
  3. Step 3: Cross multiply
    288.78x = 398.21 × 265.37
  4. Step 4: Simplify right side
    288.78x = 105,673.96
  5. Step 5: Solve for x
    x = 105,673.96/288.78
  6. Step 6: Final answer
    x = 365.93

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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.