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Finding the Fourth Proportional to 409.39, 611.21 and 341.01

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Solution

The fourth proportional to 409.39, 611.21 and 341.01 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.39 : 611.21 = 341.01 : x
  2. Step 2: Convert to fraction form
    409.39/611.21 = 341.01/x
  3. Step 3: Cross multiply
    409.39x = 611.21 × 341.01
  4. Step 4: Simplify right side
    409.39x = 208,429.57
  5. Step 5: Solve for x
    x = 208,429.57/409.39
  6. Step 6: Final answer
    x = 509.13

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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.