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Finding the Fourth Proportional to 334.26, 498.50 and 285.82

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Solution

The fourth proportional to 334.26, 498.50 and 285.82 is: 426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.26 : 498.50 = 285.82 : x
  2. Step 2: Convert to fraction form
    334.26/498.50 = 285.82/x
  3. Step 3: Cross multiply
    334.26x = 498.50 × 285.82
  4. Step 4: Simplify right side
    334.26x = 142,479.67
  5. Step 5: Solve for x
    x = 142,479.67/334.26
  6. Step 6: Final answer
    x = 426.25

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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.