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Finding the Fourth Proportional to 306.29, 422.53 and 188.24

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Solution

The fourth proportional to 306.29, 422.53 and 188.24 is: 259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 422.53 = 188.24 : x
  2. Step 2: Convert to fraction form
    306.29/422.53 = 188.24/x
  3. Step 3: Cross multiply
    306.29x = 422.53 × 188.24
  4. Step 4: Simplify right side
    306.29x = 79,534.46
  5. Step 5: Solve for x
    x = 79,534.46/306.29
  6. Step 6: Final answer
    x = 259.67

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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.