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Finding the Fourth Proportional to 206.90, 310.49 and 152.93

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Solution

The fourth proportional to 206.90, 310.49 and 152.93 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 310.49 = 152.93 : x
  2. Step 2: Convert to fraction form
    206.90/310.49 = 152.93/x
  3. Step 3: Cross multiply
    206.90x = 310.49 × 152.93
  4. Step 4: Simplify right side
    206.90x = 47,480.92
  5. Step 5: Solve for x
    x = 47,480.92/206.90
  6. Step 6: Final answer
    x = 229.49

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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.