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Finding the Fourth Proportional to 337.21, 464.93 and 274.98

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Solution

The fourth proportional to 337.21, 464.93 and 274.98 is: 379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.21 : 464.93 = 274.98 : x
  2. Step 2: Convert to fraction form
    337.21/464.93 = 274.98/x
  3. Step 3: Cross multiply
    337.21x = 464.93 × 274.98
  4. Step 4: Simplify right side
    337.21x = 127,842.75
  5. Step 5: Solve for x
    x = 127,842.75/337.21
  6. Step 6: Final answer
    x = 379.12

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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.