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Finding the Fourth Proportional to 333.32, 496.20 and 317.60

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Solution

The fourth proportional to 333.32, 496.20 and 317.60 is: 472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.32 : 496.20 = 317.60 : x
  2. Step 2: Convert to fraction form
    333.32/496.20 = 317.60/x
  3. Step 3: Cross multiply
    333.32x = 496.20 × 317.60
  4. Step 4: Simplify right side
    333.32x = 157,593.12
  5. Step 5: Solve for x
    x = 157,593.12/333.32
  6. Step 6: Final answer
    x = 472.80

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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.