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Finding the Fourth Proportional to 426.40, 588.46 and 260.64

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Solution

The fourth proportional to 426.40, 588.46 and 260.64 is: 359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.40 : 588.46 = 260.64 : x
  2. Step 2: Convert to fraction form
    426.40/588.46 = 260.64/x
  3. Step 3: Cross multiply
    426.40x = 588.46 × 260.64
  4. Step 4: Simplify right side
    426.40x = 153,376.21
  5. Step 5: Solve for x
    x = 153,376.21/426.40
  6. Step 6: Final answer
    x = 359.70

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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.