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Finding the Fourth Proportional to 293.70, 437.97 and 270.06

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Solution

The fourth proportional to 293.70, 437.97 and 270.06 is: 402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.70 : 437.97 = 270.06 : x
  2. Step 2: Convert to fraction form
    293.70/437.97 = 270.06/x
  3. Step 3: Cross multiply
    293.70x = 437.97 × 270.06
  4. Step 4: Simplify right side
    293.70x = 118,278.18
  5. Step 5: Solve for x
    x = 118,278.18/293.70
  6. Step 6: Final answer
    x = 402.72

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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.