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Finding the Fourth Proportional to 357.01, 491.20 and 310.26

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Solution

The fourth proportional to 357.01, 491.20 and 310.26 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.01 : 491.20 = 310.26 : x
  2. Step 2: Convert to fraction form
    357.01/491.20 = 310.26/x
  3. Step 3: Cross multiply
    357.01x = 491.20 × 310.26
  4. Step 4: Simplify right side
    357.01x = 152,399.71
  5. Step 5: Solve for x
    x = 152,399.71/357.01
  6. Step 6: Final answer
    x = 426.88

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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.