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Finding the Fourth Proportional to 308.32, 422.15 and 307.24

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Solution

The fourth proportional to 308.32, 422.15 and 307.24 is: 420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.32 : 422.15 = 307.24 : x
  2. Step 2: Convert to fraction form
    308.32/422.15 = 307.24/x
  3. Step 3: Cross multiply
    308.32x = 422.15 × 307.24
  4. Step 4: Simplify right side
    308.32x = 129,701.37
  5. Step 5: Solve for x
    x = 129,701.37/308.32
  6. Step 6: Final answer
    x = 420.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.