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Finding the Fourth Proportional to 297.55, 409.47 and 274.47

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Solution

The fourth proportional to 297.55, 409.47 and 274.47 is: 377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.55 : 409.47 = 274.47 : x
  2. Step 2: Convert to fraction form
    297.55/409.47 = 274.47/x
  3. Step 3: Cross multiply
    297.55x = 409.47 × 274.47
  4. Step 4: Simplify right side
    297.55x = 112,386.72
  5. Step 5: Solve for x
    x = 112,386.72/297.55
  6. Step 6: Final answer
    x = 377.70

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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.