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Finding the Fourth Proportional to 334.77, 499.20 and 289.41

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Solution

The fourth proportional to 334.77, 499.20 and 289.41 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.77 : 499.20 = 289.41 : x
  2. Step 2: Convert to fraction form
    334.77/499.20 = 289.41/x
  3. Step 3: Cross multiply
    334.77x = 499.20 × 289.41
  4. Step 4: Simplify right side
    334.77x = 144,473.47
  5. Step 5: Solve for x
    x = 144,473.47/334.77
  6. Step 6: Final answer
    x = 431.56

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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.