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Finding the Fourth Proportional to 238.42, 355.94 and 207.70

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Solution

The fourth proportional to 238.42, 355.94 and 207.70 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.42 : 355.94 = 207.70 : x
  2. Step 2: Convert to fraction form
    238.42/355.94 = 207.70/x
  3. Step 3: Cross multiply
    238.42x = 355.94 × 207.70
  4. Step 4: Simplify right side
    238.42x = 73,928.74
  5. Step 5: Solve for x
    x = 73,928.74/238.42
  6. Step 6: Final answer
    x = 310.08

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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.