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Finding the Fourth Proportional to 297.78, 410.98 and 223.98

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Solution

The fourth proportional to 297.78, 410.98 and 223.98 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 410.98 = 223.98 : x
  2. Step 2: Convert to fraction form
    297.78/410.98 = 223.98/x
  3. Step 3: Cross multiply
    297.78x = 410.98 × 223.98
  4. Step 4: Simplify right side
    297.78x = 92,051.30
  5. Step 5: Solve for x
    x = 92,051.30/297.78
  6. Step 6: Final answer
    x = 309.13

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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.