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Finding the Fourth Proportional to 206.34, 310.71 and 152.61

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Solution

The fourth proportional to 206.34, 310.71 and 152.61 is: 229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 310.71 = 152.61 : x
  2. Step 2: Convert to fraction form
    206.34/310.71 = 152.61/x
  3. Step 3: Cross multiply
    206.34x = 310.71 × 152.61
  4. Step 4: Simplify right side
    206.34x = 47,417.45
  5. Step 5: Solve for x
    x = 47,417.45/206.34
  6. Step 6: Final answer
    x = 229.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.