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Finding the Fourth Proportional to 340.97, 509.25 and 338.58

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Solution

The fourth proportional to 340.97, 509.25 and 338.58 is: 505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.97 : 509.25 = 338.58 : x
  2. Step 2: Convert to fraction form
    340.97/509.25 = 338.58/x
  3. Step 3: Cross multiply
    340.97x = 509.25 × 338.58
  4. Step 4: Simplify right side
    340.97x = 172,421.87
  5. Step 5: Solve for x
    x = 172,421.87/340.97
  6. Step 6: Final answer
    x = 505.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.