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Finding the Fourth Proportional to 331.04, 493.12 and 319.16

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Solution

The fourth proportional to 331.04, 493.12 and 319.16 is: 475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.04 : 493.12 = 319.16 : x
  2. Step 2: Convert to fraction form
    331.04/493.12 = 319.16/x
  3. Step 3: Cross multiply
    331.04x = 493.12 × 319.16
  4. Step 4: Simplify right side
    331.04x = 157,384.18
  5. Step 5: Solve for x
    x = 157,384.18/331.04
  6. Step 6: Final answer
    x = 475.42

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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.