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Finding the Fourth Proportional to 223.77, 307.09 and 202.98

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Solution

The fourth proportional to 223.77, 307.09 and 202.98 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.77 : 307.09 = 202.98 : x
  2. Step 2: Convert to fraction form
    223.77/307.09 = 202.98/x
  3. Step 3: Cross multiply
    223.77x = 307.09 × 202.98
  4. Step 4: Simplify right side
    223.77x = 62,333.13
  5. Step 5: Solve for x
    x = 62,333.13/223.77
  6. Step 6: Final answer
    x = 278.56

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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.