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Finding the Fourth Proportional to 314.35, 433.85 and 261.82

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Solution

The fourth proportional to 314.35, 433.85 and 261.82 is: 361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.35 : 433.85 = 261.82 : x
  2. Step 2: Convert to fraction form
    314.35/433.85 = 261.82/x
  3. Step 3: Cross multiply
    314.35x = 433.85 × 261.82
  4. Step 4: Simplify right side
    314.35x = 113,588.87
  5. Step 5: Solve for x
    x = 113,588.87/314.35
  6. Step 6: Final answer
    x = 361.35

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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.