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Finding the Fourth Proportional to 334.14, 498.31 and 285.69

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Solution

The fourth proportional to 334.14, 498.31 and 285.69 is: 426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.14 : 498.31 = 285.69 : x
  2. Step 2: Convert to fraction form
    334.14/498.31 = 285.69/x
  3. Step 3: Cross multiply
    334.14x = 498.31 × 285.69
  4. Step 4: Simplify right side
    334.14x = 142,362.18
  5. Step 5: Solve for x
    x = 142,362.18/334.14
  6. Step 6: Final answer
    x = 426.06

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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.