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Finding the Fourth Proportional to 334.17, 460.90 and 289.83

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Solution

The fourth proportional to 334.17, 460.90 and 289.83 is: 399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.17 : 460.90 = 289.83 : x
  2. Step 2: Convert to fraction form
    334.17/460.90 = 289.83/x
  3. Step 3: Cross multiply
    334.17x = 460.90 × 289.83
  4. Step 4: Simplify right side
    334.17x = 133,582.65
  5. Step 5: Solve for x
    x = 133,582.65/334.17
  6. Step 6: Final answer
    x = 399.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.