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Finding the Fourth Proportional to 322.62, 486.74 and 286.98

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Solution

The fourth proportional to 322.62, 486.74 and 286.98 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 486.74 = 286.98 : x
  2. Step 2: Convert to fraction form
    322.62/486.74 = 286.98/x
  3. Step 3: Cross multiply
    322.62x = 486.74 × 286.98
  4. Step 4: Simplify right side
    322.62x = 139,683.21
  5. Step 5: Solve for x
    x = 139,683.21/322.62
  6. Step 6: Final answer
    x = 432.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.