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Finding the Fourth Proportional to 340.57, 509.94 and 177.91

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Solution

The fourth proportional to 340.57, 509.94 and 177.91 is: 266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.57 : 509.94 = 177.91 : x
  2. Step 2: Convert to fraction form
    340.57/509.94 = 177.91/x
  3. Step 3: Cross multiply
    340.57x = 509.94 × 177.91
  4. Step 4: Simplify right side
    340.57x = 90,721.26
  5. Step 5: Solve for x
    x = 90,721.26/340.57
  6. Step 6: Final answer
    x = 266.38

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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.