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Finding the Fourth Proportional to 339.54, 469.19 and 256.50

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Solution

The fourth proportional to 339.54, 469.19 and 256.50 is: 354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.54 : 469.19 = 256.50 : x
  2. Step 2: Convert to fraction form
    339.54/469.19 = 256.50/x
  3. Step 3: Cross multiply
    339.54x = 469.19 × 256.50
  4. Step 4: Simplify right side
    339.54x = 120,344.89
  5. Step 5: Solve for x
    x = 120,344.89/339.54
  6. Step 6: Final answer
    x = 354.44

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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.