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Finding the Fourth Proportional to 340.93, 509.41 and 299.26

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Solution

The fourth proportional to 340.93, 509.41 and 299.26 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.93 : 509.41 = 299.26 : x
  2. Step 2: Convert to fraction form
    340.93/509.41 = 299.26/x
  3. Step 3: Cross multiply
    340.93x = 509.41 × 299.26
  4. Step 4: Simplify right side
    340.93x = 152,444.54
  5. Step 5: Solve for x
    x = 152,444.54/340.93
  6. Step 6: Final answer
    x = 447.14

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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.