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Finding the Fourth Proportional to 315.78, 434.38 and 297.86

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Solution

The fourth proportional to 315.78, 434.38 and 297.86 is: 409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 434.38 = 297.86 : x
  2. Step 2: Convert to fraction form
    315.78/434.38 = 297.86/x
  3. Step 3: Cross multiply
    315.78x = 434.38 × 297.86
  4. Step 4: Simplify right side
    315.78x = 129,384.43
  5. Step 5: Solve for x
    x = 129,384.43/315.78
  6. Step 6: Final answer
    x = 409.73

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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.