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Finding the Fourth Proportional to 331.02, 493.10 and 312.78

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Solution

The fourth proportional to 331.02, 493.10 and 312.78 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.02 : 493.10 = 312.78 : x
  2. Step 2: Convert to fraction form
    331.02/493.10 = 312.78/x
  3. Step 3: Cross multiply
    331.02x = 493.10 × 312.78
  4. Step 4: Simplify right side
    331.02x = 154,230.25
  5. Step 5: Solve for x
    x = 154,230.25/331.02
  6. Step 6: Final answer
    x = 465.92

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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.