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Finding the Fourth Proportional to 505.22, 697.16 and 308.93

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Solution

The fourth proportional to 505.22, 697.16 and 308.93 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.22 : 697.16 = 308.93 : x
  2. Step 2: Convert to fraction form
    505.22/697.16 = 308.93/x
  3. Step 3: Cross multiply
    505.22x = 697.16 × 308.93
  4. Step 4: Simplify right side
    505.22x = 215,372.09
  5. Step 5: Solve for x
    x = 215,372.09/505.22
  6. Step 6: Final answer
    x = 426.29

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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.