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Finding the Fourth Proportional to 314.61, 472.05 and 212.28

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Solution

The fourth proportional to 314.61, 472.05 and 212.28 is: 318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 472.05 = 212.28 : x
  2. Step 2: Convert to fraction form
    314.61/472.05 = 212.28/x
  3. Step 3: Cross multiply
    314.61x = 472.05 × 212.28
  4. Step 4: Simplify right side
    314.61x = 100,206.77
  5. Step 5: Solve for x
    x = 100,206.77/314.61
  6. Step 6: Final answer
    x = 318.51

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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.