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Finding the Fourth Proportional to 426.71, 588.92 and 260.94

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Solution

The fourth proportional to 426.71, 588.92 and 260.94 is: 360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.71 : 588.92 = 260.94 : x
  2. Step 2: Convert to fraction form
    426.71/588.92 = 260.94/x
  3. Step 3: Cross multiply
    426.71x = 588.92 × 260.94
  4. Step 4: Simplify right side
    426.71x = 153,671.48
  5. Step 5: Solve for x
    x = 153,671.48/426.71
  6. Step 6: Final answer
    x = 360.14

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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.