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Finding the Fourth Proportional to 312.86, 468.59 and 251.71

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Solution

The fourth proportional to 312.86, 468.59 and 251.71 is: 376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.86 : 468.59 = 251.71 : x
  2. Step 2: Convert to fraction form
    312.86/468.59 = 251.71/x
  3. Step 3: Cross multiply
    312.86x = 468.59 × 251.71
  4. Step 4: Simplify right side
    312.86x = 117,946.36
  5. Step 5: Solve for x
    x = 117,946.36/312.86
  6. Step 6: Final answer
    x = 376.99

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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.