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Finding the Fourth Proportional to 265.62, 396.81 and 211.58

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Solution

The fourth proportional to 265.62, 396.81 and 211.58 is: 316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.62 : 396.81 = 211.58 : x
  2. Step 2: Convert to fraction form
    265.62/396.81 = 211.58/x
  3. Step 3: Cross multiply
    265.62x = 396.81 × 211.58
  4. Step 4: Simplify right side
    265.62x = 83,957.06
  5. Step 5: Solve for x
    x = 83,957.06/265.62
  6. Step 6: Final answer
    x = 316.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.