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Finding the Fourth Proportional to 312.90, 431.78 and 214.50

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Solution

The fourth proportional to 312.90, 431.78 and 214.50 is: 295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.90 : 431.78 = 214.50 : x
  2. Step 2: Convert to fraction form
    312.90/431.78 = 214.50/x
  3. Step 3: Cross multiply
    312.90x = 431.78 × 214.50
  4. Step 4: Simplify right side
    312.90x = 92,616.81
  5. Step 5: Solve for x
    x = 92,616.81/312.90
  6. Step 6: Final answer
    x = 295.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.