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Finding the Fourth Proportional to 339.31, 506.72 and 290.04

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Solution

The fourth proportional to 339.31, 506.72 and 290.04 is: 433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.31 : 506.72 = 290.04 : x
  2. Step 2: Convert to fraction form
    339.31/506.72 = 290.04/x
  3. Step 3: Cross multiply
    339.31x = 506.72 × 290.04
  4. Step 4: Simplify right side
    339.31x = 146,969.07
  5. Step 5: Solve for x
    x = 146,969.07/339.31
  6. Step 6: Final answer
    x = 433.14

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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.