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Finding the Fourth Proportional to 333.03, 496.45 and 314.79

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Solution

The fourth proportional to 333.03, 496.45 and 314.79 is: 469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.03 : 496.45 = 314.79 : x
  2. Step 2: Convert to fraction form
    333.03/496.45 = 314.79/x
  3. Step 3: Cross multiply
    333.03x = 496.45 × 314.79
  4. Step 4: Simplify right side
    333.03x = 156,276.71
  5. Step 5: Solve for x
    x = 156,276.71/333.03
  6. Step 6: Final answer
    x = 469.26

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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.