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Finding the Fourth Proportional to 426.58, 588.54 and 260.74

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Solution

The fourth proportional to 426.58, 588.54 and 260.74 is: 359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.58 : 588.54 = 260.74 : x
  2. Step 2: Convert to fraction form
    426.58/588.54 = 260.74/x
  3. Step 3: Cross multiply
    426.58x = 588.54 × 260.74
  4. Step 4: Simplify right side
    426.58x = 153,455.92
  5. Step 5: Solve for x
    x = 153,455.92/426.58
  6. Step 6: Final answer
    x = 359.74

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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.