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Finding the Fourth Proportional to 339.35, 508.95 and 224.60

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Solution

The fourth proportional to 339.35, 508.95 and 224.60 is: 336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.35 : 508.95 = 224.60 : x
  2. Step 2: Convert to fraction form
    339.35/508.95 = 224.60/x
  3. Step 3: Cross multiply
    339.35x = 508.95 × 224.60
  4. Step 4: Simplify right side
    339.35x = 114,307.63
  5. Step 5: Solve for x
    x = 114,307.63/339.35
  6. Step 6: Final answer
    x = 336.85

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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.