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Finding the Fourth Proportional to 360.06, 496.86 and 210.66

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Solution

The fourth proportional to 360.06, 496.86 and 210.66 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.06 : 496.86 = 210.66 : x
  2. Step 2: Convert to fraction form
    360.06/496.86 = 210.66/x
  3. Step 3: Cross multiply
    360.06x = 496.86 × 210.66
  4. Step 4: Simplify right side
    360.06x = 104,668.53
  5. Step 5: Solve for x
    x = 104,668.53/360.06
  6. Step 6: Final answer
    x = 290.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.