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Finding the Fourth Proportional to 339.20, 509.16 and 176.84

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Solution

The fourth proportional to 339.20, 509.16 and 176.84 is: 265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 509.16 = 176.84 : x
  2. Step 2: Convert to fraction form
    339.20/509.16 = 176.84/x
  3. Step 3: Cross multiply
    339.20x = 509.16 × 176.84
  4. Step 4: Simplify right side
    339.20x = 90,039.85
  5. Step 5: Solve for x
    x = 90,039.85/339.20
  6. Step 6: Final answer
    x = 265.45

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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.