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Finding the Fourth Proportional to 306.72, 423.15 and 188.66

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Solution

The fourth proportional to 306.72, 423.15 and 188.66 is: 260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 423.15 = 188.66 : x
  2. Step 2: Convert to fraction form
    306.72/423.15 = 188.66/x
  3. Step 3: Cross multiply
    306.72x = 423.15 × 188.66
  4. Step 4: Simplify right side
    306.72x = 79,831.48
  5. Step 5: Solve for x
    x = 79,831.48/306.72
  6. Step 6: Final answer
    x = 260.27

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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.