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Finding the Fourth Proportional to 409.94, 565.24 and 386.09

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Solution

The fourth proportional to 409.94, 565.24 and 386.09 is: 532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 565.24 = 386.09 : x
  2. Step 2: Convert to fraction form
    409.94/565.24 = 386.09/x
  3. Step 3: Cross multiply
    409.94x = 565.24 × 386.09
  4. Step 4: Simplify right side
    409.94x = 218,233.51
  5. Step 5: Solve for x
    x = 218,233.51/409.94
  6. Step 6: Final answer
    x = 532.35

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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.