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Finding the Fourth Proportional to 315.78, 472.86 and 219.48

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Solution

The fourth proportional to 315.78, 472.86 and 219.48 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 472.86 = 219.48 : x
  2. Step 2: Convert to fraction form
    315.78/472.86 = 219.48/x
  3. Step 3: Cross multiply
    315.78x = 472.86 × 219.48
  4. Step 4: Simplify right side
    315.78x = 103,783.31
  5. Step 5: Solve for x
    x = 103,783.31/315.78
  6. Step 6: Final answer
    x = 328.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.