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Finding the Fourth Proportional to 322.42, 484.17 and 287.77

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Solution

The fourth proportional to 322.42, 484.17 and 287.77 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.42 : 484.17 = 287.77 : x
  2. Step 2: Convert to fraction form
    322.42/484.17 = 287.77/x
  3. Step 3: Cross multiply
    322.42x = 484.17 × 287.77
  4. Step 4: Simplify right side
    322.42x = 139,329.60
  5. Step 5: Solve for x
    x = 139,329.60/322.42
  6. Step 6: Final answer
    x = 432.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.