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Finding the Fourth Proportional to 315.97, 437.87 and 297.74

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Solution

The fourth proportional to 315.97, 437.87 and 297.74 is: 412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.97 : 437.87 = 297.74 : x
  2. Step 2: Convert to fraction form
    315.97/437.87 = 297.74/x
  3. Step 3: Cross multiply
    315.97x = 437.87 × 297.74
  4. Step 4: Simplify right side
    315.97x = 130,373.25
  5. Step 5: Solve for x
    x = 130,373.25/315.97
  6. Step 6: Final answer
    x = 412.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.