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Finding the Fourth Proportional to 213.13, 293.70 and 153.92

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Solution

The fourth proportional to 213.13, 293.70 and 153.92 is: 212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.13 : 293.70 = 153.92 : x
  2. Step 2: Convert to fraction form
    213.13/293.70 = 153.92/x
  3. Step 3: Cross multiply
    213.13x = 293.70 × 153.92
  4. Step 4: Simplify right side
    213.13x = 45,204.84
  5. Step 5: Solve for x
    x = 45,204.84/213.13
  6. Step 6: Final answer
    x = 212.10

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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.