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Finding the Fourth Proportional to 270.64, 403.61 and 261.19

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Solution

The fourth proportional to 270.64, 403.61 and 261.19 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.64 : 403.61 = 261.19 : x
  2. Step 2: Convert to fraction form
    270.64/403.61 = 261.19/x
  3. Step 3: Cross multiply
    270.64x = 403.61 × 261.19
  4. Step 4: Simplify right side
    270.64x = 105,418.90
  5. Step 5: Solve for x
    x = 105,418.90/270.64
  6. Step 6: Final answer
    x = 389.52

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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.