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Finding the Fourth Proportional to 306.56, 423.16 and 188.50

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Solution

The fourth proportional to 306.56, 423.16 and 188.50 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 423.16 = 188.50 : x
  2. Step 2: Convert to fraction form
    306.56/423.16 = 188.50/x
  3. Step 3: Cross multiply
    306.56x = 423.16 × 188.50
  4. Step 4: Simplify right side
    306.56x = 79,765.66
  5. Step 5: Solve for x
    x = 79,765.66/306.56
  6. Step 6: Final answer
    x = 260.20

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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.