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Finding the Fourth Proportional to 275.84, 411.91 and 240.87

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Solution

The fourth proportional to 275.84, 411.91 and 240.87 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 411.91 = 240.87 : x
  2. Step 2: Convert to fraction form
    275.84/411.91 = 240.87/x
  3. Step 3: Cross multiply
    275.84x = 411.91 × 240.87
  4. Step 4: Simplify right side
    275.84x = 99,216.76
  5. Step 5: Solve for x
    x = 99,216.76/275.84
  6. Step 6: Final answer
    x = 359.70

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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.