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Finding the Fourth Proportional to 315.03, 472.65 and 109.59

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Solution

The fourth proportional to 315.03, 472.65 and 109.59 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.03 : 472.65 = 109.59 : x
  2. Step 2: Convert to fraction form
    315.03/472.65 = 109.59/x
  3. Step 3: Cross multiply
    315.03x = 472.65 × 109.59
  4. Step 4: Simplify right side
    315.03x = 51,797.71
  5. Step 5: Solve for x
    x = 51,797.71/315.03
  6. Step 6: Final answer
    x = 164.42

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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.