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Finding the Fourth Proportional to 271.80, 405.32 and 260.18

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Solution

The fourth proportional to 271.80, 405.32 and 260.18 is: 387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 405.32 = 260.18 : x
  2. Step 2: Convert to fraction form
    271.80/405.32 = 260.18/x
  3. Step 3: Cross multiply
    271.80x = 405.32 × 260.18
  4. Step 4: Simplify right side
    271.80x = 105,456.16
  5. Step 5: Solve for x
    x = 105,456.16/271.80
  6. Step 6: Final answer
    x = 387.99

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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.