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Finding the Fourth Proportional to 409.15, 562.29 and 368.13

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Solution

The fourth proportional to 409.15, 562.29 and 368.13 is: 505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.15 : 562.29 = 368.13 : x
  2. Step 2: Convert to fraction form
    409.15/562.29 = 368.13/x
  3. Step 3: Cross multiply
    409.15x = 562.29 × 368.13
  4. Step 4: Simplify right side
    409.15x = 206,995.82
  5. Step 5: Solve for x
    x = 206,995.82/409.15
  6. Step 6: Final answer
    x = 505.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.