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Finding the Fourth Proportional to 310.42, 422.91 and 304.10

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Solution

The fourth proportional to 310.42, 422.91 and 304.10 is: 414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 422.91 = 304.10 : x
  2. Step 2: Convert to fraction form
    310.42/422.91 = 304.10/x
  3. Step 3: Cross multiply
    310.42x = 422.91 × 304.10
  4. Step 4: Simplify right side
    310.42x = 128,606.93
  5. Step 5: Solve for x
    x = 128,606.93/310.42
  6. Step 6: Final answer
    x = 414.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.