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Finding the Fourth Proportional to 206.19, 307.88 and 183.10

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Solution

The fourth proportional to 206.19, 307.88 and 183.10 is: 273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.19 : 307.88 = 183.10 : x
  2. Step 2: Convert to fraction form
    206.19/307.88 = 183.10/x
  3. Step 3: Cross multiply
    206.19x = 307.88 × 183.10
  4. Step 4: Simplify right side
    206.19x = 56,372.83
  5. Step 5: Solve for x
    x = 56,372.83/206.19
  6. Step 6: Final answer
    x = 273.40

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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.