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Finding the Fourth Proportional to 426.79, 588.82 and 279.51

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Solution

The fourth proportional to 426.79, 588.82 and 279.51 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.79 : 588.82 = 279.51 : x
  2. Step 2: Convert to fraction form
    426.79/588.82 = 279.51/x
  3. Step 3: Cross multiply
    426.79x = 588.82 × 279.51
  4. Step 4: Simplify right side
    426.79x = 164,581.08
  5. Step 5: Solve for x
    x = 164,581.08/426.79
  6. Step 6: Final answer
    x = 385.63

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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.