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Finding the Fourth Proportional to 206.72, 309.46 and 152.66

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Solution

The fourth proportional to 206.72, 309.46 and 152.66 is: 228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 309.46 = 152.66 : x
  2. Step 2: Convert to fraction form
    206.72/309.46 = 152.66/x
  3. Step 3: Cross multiply
    206.72x = 309.46 × 152.66
  4. Step 4: Simplify right side
    206.72x = 47,242.16
  5. Step 5: Solve for x
    x = 47,242.16/206.72
  6. Step 6: Final answer
    x = 228.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.