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Finding the Fourth Proportional to 333.60, 496.87 and 316.25

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Solution

The fourth proportional to 333.60, 496.87 and 316.25 is: 471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 496.87 = 316.25 : x
  2. Step 2: Convert to fraction form
    333.60/496.87 = 316.25/x
  3. Step 3: Cross multiply
    333.60x = 496.87 × 316.25
  4. Step 4: Simplify right side
    333.60x = 157,131.07
  5. Step 5: Solve for x
    x = 157,131.07/333.60
  6. Step 6: Final answer
    x = 471.02

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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.