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Finding the Fourth Proportional to 314.30, 433.05 and 274.66

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Solution

The fourth proportional to 314.30, 433.05 and 274.66 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 433.05 = 274.66 : x
  2. Step 2: Convert to fraction form
    314.30/433.05 = 274.66/x
  3. Step 3: Cross multiply
    314.30x = 433.05 × 274.66
  4. Step 4: Simplify right side
    314.30x = 118,939.40
  5. Step 5: Solve for x
    x = 118,939.40/314.30
  6. Step 6: Final answer
    x = 378.42

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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.