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Finding the Fourth Proportional to 314.52, 433.95 and 202.44

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Solution

The fourth proportional to 314.52, 433.95 and 202.44 is: 279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 433.95 = 202.44 : x
  2. Step 2: Convert to fraction form
    314.52/433.95 = 202.44/x
  3. Step 3: Cross multiply
    314.52x = 433.95 × 202.44
  4. Step 4: Simplify right side
    314.52x = 87,848.84
  5. Step 5: Solve for x
    x = 87,848.84/314.52
  6. Step 6: Final answer
    x = 279.31

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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.