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Finding the Fourth Proportional to 338.46, 509.49 and 293.81

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Solution

The fourth proportional to 338.46, 509.49 and 293.81 is: 442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.46 : 509.49 = 293.81 : x
  2. Step 2: Convert to fraction form
    338.46/509.49 = 293.81/x
  3. Step 3: Cross multiply
    338.46x = 509.49 × 293.81
  4. Step 4: Simplify right side
    338.46x = 149,690.71
  5. Step 5: Solve for x
    x = 149,690.71/338.46
  6. Step 6: Final answer
    x = 442.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.