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Finding the Fourth Proportional to 339.63, 509.64 and 147.25

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Solution

The fourth proportional to 339.63, 509.64 and 147.25 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.63 : 509.64 = 147.25 : x
  2. Step 2: Convert to fraction form
    339.63/509.64 = 147.25/x
  3. Step 3: Cross multiply
    339.63x = 509.64 × 147.25
  4. Step 4: Simplify right side
    339.63x = 75,044.49
  5. Step 5: Solve for x
    x = 75,044.49/339.63
  6. Step 6: Final answer
    x = 220.96

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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.