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Finding the Fourth Proportional to 340.07, 509.73 and 166.36

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Solution

The fourth proportional to 340.07, 509.73 and 166.36 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.07 : 509.73 = 166.36 : x
  2. Step 2: Convert to fraction form
    340.07/509.73 = 166.36/x
  3. Step 3: Cross multiply
    340.07x = 509.73 × 166.36
  4. Step 4: Simplify right side
    340.07x = 84,798.80
  5. Step 5: Solve for x
    x = 84,798.80/340.07
  6. Step 6: Final answer
    x = 249.36

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Why These Related Problems?

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