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Finding the Fourth Proportional to 213.28, 293.89 and 151.18

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Solution

The fourth proportional to 213.28, 293.89 and 151.18 is: 208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.28 : 293.89 = 151.18 : x
  2. Step 2: Convert to fraction form
    213.28/293.89 = 151.18/x
  3. Step 3: Cross multiply
    213.28x = 293.89 × 151.18
  4. Step 4: Simplify right side
    213.28x = 44,430.29
  5. Step 5: Solve for x
    x = 44,430.29/213.28
  6. Step 6: Final answer
    x = 208.32

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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.