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Finding the Fourth Proportional to 334.18, 460.65 and 289.81

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Solution

The fourth proportional to 334.18, 460.65 and 289.81 is: 399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.18 : 460.65 = 289.81 : x
  2. Step 2: Convert to fraction form
    334.18/460.65 = 289.81/x
  3. Step 3: Cross multiply
    334.18x = 460.65 × 289.81
  4. Step 4: Simplify right side
    334.18x = 133,500.98
  5. Step 5: Solve for x
    x = 133,500.98/334.18
  6. Step 6: Final answer
    x = 399.49

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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.