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Finding the Fourth Proportional to 214.20, 293.70 and 193.40

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Solution

The fourth proportional to 214.20, 293.70 and 193.40 is: 265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 293.70 = 193.40 : x
  2. Step 2: Convert to fraction form
    214.20/293.70 = 193.40/x
  3. Step 3: Cross multiply
    214.20x = 293.70 × 193.40
  4. Step 4: Simplify right side
    214.20x = 56,801.58
  5. Step 5: Solve for x
    x = 56,801.58/214.20
  6. Step 6: Final answer
    x = 265.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.