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Finding the Fourth Proportional to 426.71, 588.57 and 302.37

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Solution

The fourth proportional to 426.71, 588.57 and 302.37 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.71 : 588.57 = 302.37 : x
  2. Step 2: Convert to fraction form
    426.71/588.57 = 302.37/x
  3. Step 3: Cross multiply
    426.71x = 588.57 × 302.37
  4. Step 4: Simplify right side
    426.71x = 177,965.91
  5. Step 5: Solve for x
    x = 177,965.91/426.71
  6. Step 6: Final answer
    x = 417.07

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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.