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Finding the Fourth Proportional to 339.23, 506.02 and 306.42

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Solution

The fourth proportional to 339.23, 506.02 and 306.42 is: 457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.23 : 506.02 = 306.42 : x
  2. Step 2: Convert to fraction form
    339.23/506.02 = 306.42/x
  3. Step 3: Cross multiply
    339.23x = 506.02 × 306.42
  4. Step 4: Simplify right side
    339.23x = 155,054.65
  5. Step 5: Solve for x
    x = 155,054.65/339.23
  6. Step 6: Final answer
    x = 457.08

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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.