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Finding the Fourth Proportional to 505.33, 697.13 and 306.11

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Solution

The fourth proportional to 505.33, 697.13 and 306.11 is: 422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.33 : 697.13 = 306.11 : x
  2. Step 2: Convert to fraction form
    505.33/697.13 = 306.11/x
  3. Step 3: Cross multiply
    505.33x = 697.13 × 306.11
  4. Step 4: Simplify right side
    505.33x = 213,398.46
  5. Step 5: Solve for x
    x = 213,398.46/505.33
  6. Step 6: Final answer
    x = 422.30

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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.