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Finding the Fourth Proportional to 292.80, 437.04 and 274.56

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Solution

The fourth proportional to 292.80, 437.04 and 274.56 is: 409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.80 : 437.04 = 274.56 : x
  2. Step 2: Convert to fraction form
    292.80/437.04 = 274.56/x
  3. Step 3: Cross multiply
    292.80x = 437.04 × 274.56
  4. Step 4: Simplify right side
    292.80x = 119,993.70
  5. Step 5: Solve for x
    x = 119,993.70/292.80
  6. Step 6: Final answer
    x = 409.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.