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Finding the Fourth Proportional to 279.78, 420 and 203.23

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Solution

The fourth proportional to 279.78, 420 and 203.23 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.78 : 420 = 203.23 : x
  2. Step 2: Convert to fraction form
    279.78/420 = 203.23/x
  3. Step 3: Cross multiply
    279.78x = 420 × 203.23
  4. Step 4: Simplify right side
    279.78x = 85,356.60
  5. Step 5: Solve for x
    x = 85,356.60/279.78
  6. Step 6: Final answer
    x = 305.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.