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Finding the Fourth Proportional to 339.59, 506.45 and 288.56

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Solution

The fourth proportional to 339.59, 506.45 and 288.56 is: 430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.59 : 506.45 = 288.56 : x
  2. Step 2: Convert to fraction form
    339.59/506.45 = 288.56/x
  3. Step 3: Cross multiply
    339.59x = 506.45 × 288.56
  4. Step 4: Simplify right side
    339.59x = 146,143.20
  5. Step 5: Solve for x
    x = 146,143.20/339.59
  6. Step 6: Final answer
    x = 430.35

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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.