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Finding the Fourth Proportional to 275.76, 410.40 and 266.04

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Solution

The fourth proportional to 275.76, 410.40 and 266.04 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.76 : 410.40 = 266.04 : x
  2. Step 2: Convert to fraction form
    275.76/410.40 = 266.04/x
  3. Step 3: Cross multiply
    275.76x = 410.40 × 266.04
  4. Step 4: Simplify right side
    275.76x = 109,182.82
  5. Step 5: Solve for x
    x = 109,182.82/275.76
  6. Step 6: Final answer
    x = 395.93

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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.