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Finding the Fourth Proportional to 409.46, 611.35 and 368.51

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Solution

The fourth proportional to 409.46, 611.35 and 368.51 is: 550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.46 : 611.35 = 368.51 : x
  2. Step 2: Convert to fraction form
    409.46/611.35 = 368.51/x
  3. Step 3: Cross multiply
    409.46x = 611.35 × 368.51
  4. Step 4: Simplify right side
    409.46x = 225,288.59
  5. Step 5: Solve for x
    x = 225,288.59/409.46
  6. Step 6: Final answer
    x = 550.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.