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Finding the Fourth Proportional to 333.77, 497.67 and 333.32

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Solution

The fourth proportional to 333.77, 497.67 and 333.32 is: 496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.77 : 497.67 = 333.32 : x
  2. Step 2: Convert to fraction form
    333.77/497.67 = 333.32/x
  3. Step 3: Cross multiply
    333.77x = 497.67 × 333.32
  4. Step 4: Simplify right side
    333.77x = 165,880.56
  5. Step 5: Solve for x
    x = 165,880.56/333.77
  6. Step 6: Final answer
    x = 496.99

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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.