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Finding the Fourth Proportional to 313.76, 431.52 and 274.88

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Solution

The fourth proportional to 313.76, 431.52 and 274.88 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 431.52 = 274.88 : x
  2. Step 2: Convert to fraction form
    313.76/431.52 = 274.88/x
  3. Step 3: Cross multiply
    313.76x = 431.52 × 274.88
  4. Step 4: Simplify right side
    313.76x = 118,616.22
  5. Step 5: Solve for x
    x = 118,616.22/313.76
  6. Step 6: Final answer
    x = 378.05

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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.