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Finding the Fourth Proportional to 368.14, 553.36 and 340.46

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Solution

The fourth proportional to 368.14, 553.36 and 340.46 is: 511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.14 : 553.36 = 340.46 : x
  2. Step 2: Convert to fraction form
    368.14/553.36 = 340.46/x
  3. Step 3: Cross multiply
    368.14x = 553.36 × 340.46
  4. Step 4: Simplify right side
    368.14x = 188,393.33
  5. Step 5: Solve for x
    x = 188,393.33/368.14
  6. Step 6: Final answer
    x = 511.75

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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.