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Finding the Fourth Proportional to 331.66, 499.69 and 311.80

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Solution

The fourth proportional to 331.66, 499.69 and 311.80 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.66 : 499.69 = 311.80 : x
  2. Step 2: Convert to fraction form
    331.66/499.69 = 311.80/x
  3. Step 3: Cross multiply
    331.66x = 499.69 × 311.80
  4. Step 4: Simplify right side
    331.66x = 155,803.34
  5. Step 5: Solve for x
    x = 155,803.34/331.66
  6. Step 6: Final answer
    x = 469.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.