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Finding the Fourth Proportional to 275.81, 414 and 272.93

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Solution

The fourth proportional to 275.81, 414 and 272.93 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 414 = 272.93 : x
  2. Step 2: Convert to fraction form
    275.81/414 = 272.93/x
  3. Step 3: Cross multiply
    275.81x = 414 × 272.93
  4. Step 4: Simplify right side
    275.81x = 112,990.95
  5. Step 5: Solve for x
    x = 112,990.95/275.81
  6. Step 6: Final answer
    x = 409.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.