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Finding the Fourth Proportional to 360.96, 541.74 and 289.28

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Solution

The fourth proportional to 360.96, 541.74 and 289.28 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 541.74 = 289.28 : x
  2. Step 2: Convert to fraction form
    360.96/541.74 = 289.28/x
  3. Step 3: Cross multiply
    360.96x = 541.74 × 289.28
  4. Step 4: Simplify right side
    360.96x = 156,714.55
  5. Step 5: Solve for x
    x = 156,714.55/360.96
  6. Step 6: Final answer
    x = 434.16

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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.