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Finding the Fourth Proportional to 426.42, 636.06 and 357.18

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Solution

The fourth proportional to 426.42, 636.06 and 357.18 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 636.06 = 357.18 : x
  2. Step 2: Convert to fraction form
    426.42/636.06 = 357.18/x
  3. Step 3: Cross multiply
    426.42x = 636.06 × 357.18
  4. Step 4: Simplify right side
    426.42x = 227,187.91
  5. Step 5: Solve for x
    x = 227,187.91/426.42
  6. Step 6: Final answer
    x = 532.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.