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Finding the Fourth Proportional to 282.05, 420.41 and 260.18

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Solution

The fourth proportional to 282.05, 420.41 and 260.18 is: 387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.05 : 420.41 = 260.18 : x
  2. Step 2: Convert to fraction form
    282.05/420.41 = 260.18/x
  3. Step 3: Cross multiply
    282.05x = 420.41 × 260.18
  4. Step 4: Simplify right side
    282.05x = 109,378.87
  5. Step 5: Solve for x
    x = 109,378.87/282.05
  6. Step 6: Final answer
    x = 387.81

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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.