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Finding the Fourth Proportional to 422.30, 630.06 and 376.10

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Solution

The fourth proportional to 422.30, 630.06 and 376.10 is: 561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 630.06 = 376.10 : x
  2. Step 2: Convert to fraction form
    422.30/630.06 = 376.10/x
  3. Step 3: Cross multiply
    422.30x = 630.06 × 376.10
  4. Step 4: Simplify right side
    422.30x = 236,963.69
  5. Step 5: Solve for x
    x = 236,963.69/422.30
  6. Step 6: Final answer
    x = 561.13

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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.