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Finding the Fourth Proportional to 403.02, 604.32 and 142.92

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Solution

The fourth proportional to 403.02, 604.32 and 142.92 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.02 : 604.32 = 142.92 : x
  2. Step 2: Convert to fraction form
    403.02/604.32 = 142.92/x
  3. Step 3: Cross multiply
    403.02x = 604.32 × 142.92
  4. Step 4: Simplify right side
    403.02x = 86,369.41
  5. Step 5: Solve for x
    x = 86,369.41/403.02
  6. Step 6: Final answer
    x = 214.31

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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.