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Finding the Fourth Proportional to 334.62, 499.74 and 291.42

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Solution

The fourth proportional to 334.62, 499.74 and 291.42 is: 435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.62 : 499.74 = 291.42 : x
  2. Step 2: Convert to fraction form
    334.62/499.74 = 291.42/x
  3. Step 3: Cross multiply
    334.62x = 499.74 × 291.42
  4. Step 4: Simplify right side
    334.62x = 145,634.23
  5. Step 5: Solve for x
    x = 145,634.23/334.62
  6. Step 6: Final answer
    x = 435.22

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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.