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Finding the Fourth Proportional to 339.28, 509.02 and 258.88

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Solution

The fourth proportional to 339.28, 509.02 and 258.88 is: 388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.28 : 509.02 = 258.88 : x
  2. Step 2: Convert to fraction form
    339.28/509.02 = 258.88/x
  3. Step 3: Cross multiply
    339.28x = 509.02 × 258.88
  4. Step 4: Simplify right side
    339.28x = 131,775.10
  5. Step 5: Solve for x
    x = 131,775.10/339.28
  6. Step 6: Final answer
    x = 388.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.