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Finding the Fourth Proportional to 410.15, 563.66 and 369.13

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Solution

The fourth proportional to 410.15, 563.66 and 369.13 is: 507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.15 : 563.66 = 369.13 : x
  2. Step 2: Convert to fraction form
    410.15/563.66 = 369.13/x
  3. Step 3: Cross multiply
    410.15x = 563.66 × 369.13
  4. Step 4: Simplify right side
    410.15x = 208,063.82
  5. Step 5: Solve for x
    x = 208,063.82/410.15
  6. Step 6: Final answer
    x = 507.29

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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.