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Finding the Fourth Proportional to 407.78, 563.13 and 349.22

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Solution

The fourth proportional to 407.78, 563.13 and 349.22 is: 482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.78 : 563.13 = 349.22 : x
  2. Step 2: Convert to fraction form
    407.78/563.13 = 349.22/x
  3. Step 3: Cross multiply
    407.78x = 563.13 × 349.22
  4. Step 4: Simplify right side
    407.78x = 196,656.26
  5. Step 5: Solve for x
    x = 196,656.26/407.78
  6. Step 6: Final answer
    x = 482.26

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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.