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Finding the Fourth Proportional to 312.96, 466.78 and 272.06

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Solution

The fourth proportional to 312.96, 466.78 and 272.06 is: 405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 466.78 = 272.06 : x
  2. Step 2: Convert to fraction form
    312.96/466.78 = 272.06/x
  3. Step 3: Cross multiply
    312.96x = 466.78 × 272.06
  4. Step 4: Simplify right side
    312.96x = 126,991.10
  5. Step 5: Solve for x
    x = 126,991.10/312.96
  6. Step 6: Final answer
    x = 405.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.