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Finding the Fourth Proportional to 409.63, 565.16 and 243.76

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Solution

The fourth proportional to 409.63, 565.16 and 243.76 is: 336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 565.16 = 243.76 : x
  2. Step 2: Convert to fraction form
    409.63/565.16 = 243.76/x
  3. Step 3: Cross multiply
    409.63x = 565.16 × 243.76
  4. Step 4: Simplify right side
    409.63x = 137,761.19
  5. Step 5: Solve for x
    x = 137,761.19/409.63
  6. Step 6: Final answer
    x = 336.31

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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.