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Finding the Fourth Proportional to 314.72, 472.07 and 119.66

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Solution

The fourth proportional to 314.72, 472.07 and 119.66 is: 179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.72 : 472.07 = 119.66 : x
  2. Step 2: Convert to fraction form
    314.72/472.07 = 119.66/x
  3. Step 3: Cross multiply
    314.72x = 472.07 × 119.66
  4. Step 4: Simplify right side
    314.72x = 56,484.94
  5. Step 5: Solve for x
    x = 56,484.94/314.72
  6. Step 6: Final answer
    x = 179.48

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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.