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Finding the Fourth Proportional to 340.44, 469.78 and 193.07

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Solution

The fourth proportional to 340.44, 469.78 and 193.07 is: 266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.44 : 469.78 = 193.07 : x
  2. Step 2: Convert to fraction form
    340.44/469.78 = 193.07/x
  3. Step 3: Cross multiply
    340.44x = 469.78 × 193.07
  4. Step 4: Simplify right side
    340.44x = 90,700.42
  5. Step 5: Solve for x
    x = 90,700.42/340.44
  6. Step 6: Final answer
    x = 266.42

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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.