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Finding the Fourth Proportional to 426.88, 588.56 and 357.20

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Solution

The fourth proportional to 426.88, 588.56 and 357.20 is: 492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.88 : 588.56 = 357.20 : x
  2. Step 2: Convert to fraction form
    426.88/588.56 = 357.20/x
  3. Step 3: Cross multiply
    426.88x = 588.56 × 357.20
  4. Step 4: Simplify right side
    426.88x = 210,233.63
  5. Step 5: Solve for x
    x = 210,233.63/426.88
  6. Step 6: Final answer
    x = 492.49

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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.