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Finding the Fourth Proportional to 360.16, 537.94 and 321.84

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Solution

The fourth proportional to 360.16, 537.94 and 321.84 is: 480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 537.94 = 321.84 : x
  2. Step 2: Convert to fraction form
    360.16/537.94 = 321.84/x
  3. Step 3: Cross multiply
    360.16x = 537.94 × 321.84
  4. Step 4: Simplify right side
    360.16x = 173,130.61
  5. Step 5: Solve for x
    x = 173,130.61/360.16
  6. Step 6: Final answer
    x = 480.70

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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.