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Finding the Fourth Proportional to 308.24, 424.20 and 259.76

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Solution

The fourth proportional to 308.24, 424.20 and 259.76 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.24 : 424.20 = 259.76 : x
  2. Step 2: Convert to fraction form
    308.24/424.20 = 259.76/x
  3. Step 3: Cross multiply
    308.24x = 424.20 × 259.76
  4. Step 4: Simplify right side
    308.24x = 110,190.19
  5. Step 5: Solve for x
    x = 110,190.19/308.24
  6. Step 6: Final answer
    x = 357.48

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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.