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Finding the Fourth Proportional to 275.43, 413 and 92.77

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Solution

The fourth proportional to 275.43, 413 and 92.77 is: 139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.43 : 413 = 92.77 : x
  2. Step 2: Convert to fraction form
    275.43/413 = 92.77/x
  3. Step 3: Cross multiply
    275.43x = 413 × 92.77
  4. Step 4: Simplify right side
    275.43x = 38,314.01
  5. Step 5: Solve for x
    x = 38,314.01/275.43
  6. Step 6: Final answer
    x = 139.11

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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.