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Finding the Fourth Proportional to 360.10, 537.85 and 287.74

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Solution

The fourth proportional to 360.10, 537.85 and 287.74 is: 429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 537.85 = 287.74 : x
  2. Step 2: Convert to fraction form
    360.10/537.85 = 287.74/x
  3. Step 3: Cross multiply
    360.10x = 537.85 × 287.74
  4. Step 4: Simplify right side
    360.10x = 154,760.96
  5. Step 5: Solve for x
    x = 154,760.96/360.10
  6. Step 6: Final answer
    x = 429.77

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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.