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Finding the Fourth Proportional to 265.83, 399.35 and 229.38

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Solution

The fourth proportional to 265.83, 399.35 and 229.38 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.83 : 399.35 = 229.38 : x
  2. Step 2: Convert to fraction form
    265.83/399.35 = 229.38/x
  3. Step 3: Cross multiply
    265.83x = 399.35 × 229.38
  4. Step 4: Simplify right side
    265.83x = 91,602.90
  5. Step 5: Solve for x
    x = 91,602.90/265.83
  6. Step 6: Final answer
    x = 344.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.