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Finding the Fourth Proportional to 331.31, 495.74 and 312.84

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Solution

The fourth proportional to 331.31, 495.74 and 312.84 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 495.74 = 312.84 : x
  2. Step 2: Convert to fraction form
    331.31/495.74 = 312.84/x
  3. Step 3: Cross multiply
    331.31x = 495.74 × 312.84
  4. Step 4: Simplify right side
    331.31x = 155,088.08
  5. Step 5: Solve for x
    x = 155,088.08/331.31
  6. Step 6: Final answer
    x = 468.10

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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.