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Finding the Fourth Proportional to 259.64, 357.96 and 215.21

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Solution

The fourth proportional to 259.64, 357.96 and 215.21 is: 296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 357.96 = 215.21 : x
  2. Step 2: Convert to fraction form
    259.64/357.96 = 215.21/x
  3. Step 3: Cross multiply
    259.64x = 357.96 × 215.21
  4. Step 4: Simplify right side
    259.64x = 77,035.50
  5. Step 5: Solve for x
    x = 77,035.50/259.64
  6. Step 6: Final answer
    x = 296.70

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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.