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Finding the Fourth Proportional to 339.61, 509.50 and 193.53

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Solution

The fourth proportional to 339.61, 509.50 and 193.53 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.61 : 509.50 = 193.53 : x
  2. Step 2: Convert to fraction form
    339.61/509.50 = 193.53/x
  3. Step 3: Cross multiply
    339.61x = 509.50 × 193.53
  4. Step 4: Simplify right side
    339.61x = 98,602.38
  5. Step 5: Solve for x
    x = 98,602.38/339.61
  6. Step 6: Final answer
    x = 290.34

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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.