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Finding the Fourth Proportional to 315.15, 472.86 and 109.61

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Solution

The fourth proportional to 315.15, 472.86 and 109.61 is: 164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.15 : 472.86 = 109.61 : x
  2. Step 2: Convert to fraction form
    315.15/472.86 = 109.61/x
  3. Step 3: Cross multiply
    315.15x = 472.86 × 109.61
  4. Step 4: Simplify right side
    315.15x = 51,828.41
  5. Step 5: Solve for x
    x = 51,828.41/315.15
  6. Step 6: Final answer
    x = 164.46

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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.