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Finding the Fourth Proportional to 340.47, 469.82 and 193.07

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Solution

The fourth proportional to 340.47, 469.82 and 193.07 is: 266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.47 : 469.82 = 193.07 : x
  2. Step 2: Convert to fraction form
    340.47/469.82 = 193.07/x
  3. Step 3: Cross multiply
    340.47x = 469.82 × 193.07
  4. Step 4: Simplify right side
    340.47x = 90,704.83
  5. Step 5: Solve for x
    x = 90,704.83/340.47
  6. Step 6: Final answer
    x = 266.41

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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.