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Finding the Fourth Proportional to 206.16, 310.40 and 180.65

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Solution

The fourth proportional to 206.16, 310.40 and 180.65 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 310.40 = 180.65 : x
  2. Step 2: Convert to fraction form
    206.16/310.40 = 180.65/x
  3. Step 3: Cross multiply
    206.16x = 310.40 × 180.65
  4. Step 4: Simplify right side
    206.16x = 56,071.30
  5. Step 5: Solve for x
    x = 56,071.30/206.16
  6. Step 6: Final answer
    x = 271.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.