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Finding the Fourth Proportional to 259.42, 387.22 and 228.66

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Solution

The fourth proportional to 259.42, 387.22 and 228.66 is: 341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 387.22 = 228.66 : x
  2. Step 2: Convert to fraction form
    259.42/387.22 = 228.66/x
  3. Step 3: Cross multiply
    259.42x = 387.22 × 228.66
  4. Step 4: Simplify right side
    259.42x = 88,542.30
  5. Step 5: Solve for x
    x = 88,542.30/259.42
  6. Step 6: Final answer
    x = 341.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.