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Finding the Fourth Proportional to 422.40, 582.72 and 306

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Solution

The fourth proportional to 422.40, 582.72 and 306 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.40 : 582.72 = 306 : x
  2. Step 2: Convert to fraction form
    422.40/582.72 = 306/x
  3. Step 3: Cross multiply
    422.40x = 582.72 × 306
  4. Step 4: Simplify right side
    422.40x = 178,312.32
  5. Step 5: Solve for x
    x = 178,312.32/422.40
  6. Step 6: Final answer
    x = 422.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.