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Finding the Fourth Proportional to 334.42, 499.00 and 297.88

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Solution

The fourth proportional to 334.42, 499.00 and 297.88 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.42 : 499.00 = 297.88 : x
  2. Step 2: Convert to fraction form
    334.42/499.00 = 297.88/x
  3. Step 3: Cross multiply
    334.42x = 499.00 × 297.88
  4. Step 4: Simplify right side
    334.42x = 148,640.63
  5. Step 5: Solve for x
    x = 148,640.63/334.42
  6. Step 6: Final answer
    x = 444.47

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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.