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Finding the Fourth Proportional to 237.90, 357.04 and 204.06

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Solution

The fourth proportional to 237.90, 357.04 and 204.06 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.90 : 357.04 = 204.06 : x
  2. Step 2: Convert to fraction form
    237.90/357.04 = 204.06/x
  3. Step 3: Cross multiply
    237.90x = 357.04 × 204.06
  4. Step 4: Simplify right side
    237.90x = 72,857.58
  5. Step 5: Solve for x
    x = 72,857.58/237.90
  6. Step 6: Final answer
    x = 306.25

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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.