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Finding the Fourth Proportional to 422.66, 630.98 and 368

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Solution

The fourth proportional to 422.66, 630.98 and 368 is: 549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 630.98 = 368 : x
  2. Step 2: Convert to fraction form
    422.66/630.98 = 368/x
  3. Step 3: Cross multiply
    422.66x = 630.98 × 368
  4. Step 4: Simplify right side
    422.66x = 232,200.64
  5. Step 5: Solve for x
    x = 232,200.64/422.66
  6. Step 6: Final answer
    x = 549.38

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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.