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Finding the Fourth Proportional to 275.03, 411.01 and 205.77

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Solution

The fourth proportional to 275.03, 411.01 and 205.77 is: 307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.03 : 411.01 = 205.77 : x
  2. Step 2: Convert to fraction form
    275.03/411.01 = 205.77/x
  3. Step 3: Cross multiply
    275.03x = 411.01 × 205.77
  4. Step 4: Simplify right side
    275.03x = 84,574.55
  5. Step 5: Solve for x
    x = 84,574.55/275.03
  6. Step 6: Final answer
    x = 307.51

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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.