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Finding the Fourth Proportional to 322.10, 484.95 and 283.82

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Solution

The fourth proportional to 322.10, 484.95 and 283.82 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.10 : 484.95 = 283.82 : x
  2. Step 2: Convert to fraction form
    322.10/484.95 = 283.82/x
  3. Step 3: Cross multiply
    322.10x = 484.95 × 283.82
  4. Step 4: Simplify right side
    322.10x = 137,636.08
  5. Step 5: Solve for x
    x = 137,636.08/322.10
  6. Step 6: Final answer
    x = 427.32

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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.