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Finding the Fourth Proportional to 237.94, 358.12 and 202.70

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Solution

The fourth proportional to 237.94, 358.12 and 202.70 is: 305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.94 : 358.12 = 202.70 : x
  2. Step 2: Convert to fraction form
    237.94/358.12 = 202.70/x
  3. Step 3: Cross multiply
    237.94x = 358.12 × 202.70
  4. Step 4: Simplify right side
    237.94x = 72,592.07
  5. Step 5: Solve for x
    x = 72,592.07/237.94
  6. Step 6: Final answer
    x = 305.09

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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.