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Finding the Fourth Proportional to 206.47, 309.57 and 152.27

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Solution

The fourth proportional to 206.47, 309.57 and 152.27 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.47 : 309.57 = 152.27 : x
  2. Step 2: Convert to fraction form
    206.47/309.57 = 152.27/x
  3. Step 3: Cross multiply
    206.47x = 309.57 × 152.27
  4. Step 4: Simplify right side
    206.47x = 47,138.22
  5. Step 5: Solve for x
    x = 47,138.22/206.47
  6. Step 6: Final answer
    x = 228.31

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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.