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Finding the Fourth Proportional to 238.59, 359.80 and 235.35

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Solution

The fourth proportional to 238.59, 359.80 and 235.35 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.59 : 359.80 = 235.35 : x
  2. Step 2: Convert to fraction form
    238.59/359.80 = 235.35/x
  3. Step 3: Cross multiply
    238.59x = 359.80 × 235.35
  4. Step 4: Simplify right side
    238.59x = 84,678.93
  5. Step 5: Solve for x
    x = 84,678.93/238.59
  6. Step 6: Final answer
    x = 354.91

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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.