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Finding the Fourth Proportional to 272.58, 405.80 and 261.42

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Solution

The fourth proportional to 272.58, 405.80 and 261.42 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 405.80 = 261.42 : x
  2. Step 2: Convert to fraction form
    272.58/405.80 = 261.42/x
  3. Step 3: Cross multiply
    272.58x = 405.80 × 261.42
  4. Step 4: Simplify right side
    272.58x = 106,082.93
  5. Step 5: Solve for x
    x = 106,082.93/272.58
  6. Step 6: Final answer
    x = 389.18

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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.