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Finding the Fourth Proportional to 380.04, 572.27 and 322.46

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Solution

The fourth proportional to 380.04, 572.27 and 322.46 is: 485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.04 : 572.27 = 322.46 : x
  2. Step 2: Convert to fraction form
    380.04/572.27 = 322.46/x
  3. Step 3: Cross multiply
    380.04x = 572.27 × 322.46
  4. Step 4: Simplify right side
    380.04x = 184,531.86
  5. Step 5: Solve for x
    x = 184,531.86/380.04
  6. Step 6: Final answer
    x = 485.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.