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Finding the Fourth Proportional to 259.86, 356.96 and 215.94

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Solution

The fourth proportional to 259.86, 356.96 and 215.94 is: 296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 356.96 = 215.94 : x
  2. Step 2: Convert to fraction form
    259.86/356.96 = 215.94/x
  3. Step 3: Cross multiply
    259.86x = 356.96 × 215.94
  4. Step 4: Simplify right side
    259.86x = 77,080.86
  5. Step 5: Solve for x
    x = 77,080.86/259.86
  6. Step 6: Final answer
    x = 296.62

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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.