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Finding the Fourth Proportional to 314.19, 433.78 and 202.35

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Solution

The fourth proportional to 314.19, 433.78 and 202.35 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 433.78 = 202.35 : x
  2. Step 2: Convert to fraction form
    314.19/433.78 = 202.35/x
  3. Step 3: Cross multiply
    314.19x = 433.78 × 202.35
  4. Step 4: Simplify right side
    314.19x = 87,777.66
  5. Step 5: Solve for x
    x = 87,777.66/314.19
  6. Step 6: Final answer
    x = 279.38

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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.