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Finding the Fourth Proportional to 405.12, 604.32 and 380.28

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Solution

The fourth proportional to 405.12, 604.32 and 380.28 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 604.32 = 380.28 : x
  2. Step 2: Convert to fraction form
    405.12/604.32 = 380.28/x
  3. Step 3: Cross multiply
    405.12x = 604.32 × 380.28
  4. Step 4: Simplify right side
    405.12x = 229,810.81
  5. Step 5: Solve for x
    x = 229,810.81/405.12
  6. Step 6: Final answer
    x = 567.27

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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.