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Finding the Fourth Proportional to 360.42, 540.72 and 214.29

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Solution

The fourth proportional to 360.42, 540.72 and 214.29 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.42 : 540.72 = 214.29 : x
  2. Step 2: Convert to fraction form
    360.42/540.72 = 214.29/x
  3. Step 3: Cross multiply
    360.42x = 540.72 × 214.29
  4. Step 4: Simplify right side
    360.42x = 115,870.89
  5. Step 5: Solve for x
    x = 115,870.89/360.42
  6. Step 6: Final answer
    x = 321.49

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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.