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Finding the Fourth Proportional to 340.41, 469.71 and 192.99

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Solution

The fourth proportional to 340.41, 469.71 and 192.99 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 469.71 = 192.99 : x
  2. Step 2: Convert to fraction form
    340.41/469.71 = 192.99/x
  3. Step 3: Cross multiply
    340.41x = 469.71 × 192.99
  4. Step 4: Simplify right side
    340.41x = 90,649.33
  5. Step 5: Solve for x
    x = 90,649.33/340.41
  6. Step 6: Final answer
    x = 266.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.