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Finding the Fourth Proportional to 275.59, 380.66 and 260.20

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Solution

The fourth proportional to 275.59, 380.66 and 260.20 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.59 : 380.66 = 260.20 : x
  2. Step 2: Convert to fraction form
    275.59/380.66 = 260.20/x
  3. Step 3: Cross multiply
    275.59x = 380.66 × 260.20
  4. Step 4: Simplify right side
    275.59x = 99,047.73
  5. Step 5: Solve for x
    x = 99,047.73/275.59
  6. Step 6: Final answer
    x = 359.40

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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.