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Finding the Fourth Proportional to 237.96, 357 and 206.16

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Solution

The fourth proportional to 237.96, 357 and 206.16 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.96 : 357 = 206.16 : x
  2. Step 2: Convert to fraction form
    237.96/357 = 206.16/x
  3. Step 3: Cross multiply
    237.96x = 357 × 206.16
  4. Step 4: Simplify right side
    237.96x = 73,599.12
  5. Step 5: Solve for x
    x = 73,599.12/237.96
  6. Step 6: Final answer
    x = 309.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.