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Finding the Fourth Proportional to 275.61, 380.40 and 206.02

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Solution

The fourth proportional to 275.61, 380.40 and 206.02 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.61 : 380.40 = 206.02 : x
  2. Step 2: Convert to fraction form
    275.61/380.40 = 206.02/x
  3. Step 3: Cross multiply
    275.61x = 380.40 × 206.02
  4. Step 4: Simplify right side
    275.61x = 78,369.71
  5. Step 5: Solve for x
    x = 78,369.71/275.61
  6. Step 6: Final answer
    x = 284.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.