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Finding the Fourth Proportional to 338.88, 469.80 and 334.02

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Solution

The fourth proportional to 338.88, 469.80 and 334.02 is: 463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 469.80 = 334.02 : x
  2. Step 2: Convert to fraction form
    338.88/469.80 = 334.02/x
  3. Step 3: Cross multiply
    338.88x = 469.80 × 334.02
  4. Step 4: Simplify right side
    338.88x = 156,924.36
  5. Step 5: Solve for x
    x = 156,924.36/338.88
  6. Step 6: Final answer
    x = 463.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.