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Finding the Fourth Proportional to 407.81, 610.90 and 368.39

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Solution

The fourth proportional to 407.81, 610.90 and 368.39 is: 551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.81 : 610.90 = 368.39 : x
  2. Step 2: Convert to fraction form
    407.81/610.90 = 368.39/x
  3. Step 3: Cross multiply
    407.81x = 610.90 × 368.39
  4. Step 4: Simplify right side
    407.81x = 225,049.45
  5. Step 5: Solve for x
    x = 225,049.45/407.81
  6. Step 6: Final answer
    x = 551.85

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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.