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Finding the Fourth Proportional to 314.86, 472.35 and 109.59

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Solution

The fourth proportional to 314.86, 472.35 and 109.59 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 472.35 = 109.59 : x
  2. Step 2: Convert to fraction form
    314.86/472.35 = 109.59/x
  3. Step 3: Cross multiply
    314.86x = 472.35 × 109.59
  4. Step 4: Simplify right side
    314.86x = 51,764.84
  5. Step 5: Solve for x
    x = 51,764.84/314.86
  6. Step 6: Final answer
    x = 164.41

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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.