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Finding the Fourth Proportional to 405.18, 604.31 and 368.46

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Solution

The fourth proportional to 405.18, 604.31 and 368.46 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.18 : 604.31 = 368.46 : x
  2. Step 2: Convert to fraction form
    405.18/604.31 = 368.46/x
  3. Step 3: Cross multiply
    405.18x = 604.31 × 368.46
  4. Step 4: Simplify right side
    405.18x = 222,662.22
  5. Step 5: Solve for x
    x = 222,662.22/405.18
  6. Step 6: Final answer
    x = 549.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.