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Finding the Fourth Proportional to 339.51, 509.24 and 92.71

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Solution

The fourth proportional to 339.51, 509.24 and 92.71 is: 139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.51 : 509.24 = 92.71 : x
  2. Step 2: Convert to fraction form
    339.51/509.24 = 92.71/x
  3. Step 3: Cross multiply
    339.51x = 509.24 × 92.71
  4. Step 4: Simplify right side
    339.51x = 47,211.64
  5. Step 5: Solve for x
    x = 47,211.64/339.51
  6. Step 6: Final answer
    x = 139.06

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