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Finding the Fourth Proportional to 235.94, 354.04 and 158.65

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Solution

The fourth proportional to 235.94, 354.04 and 158.65 is: 238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.94 : 354.04 = 158.65 : x
  2. Step 2: Convert to fraction form
    235.94/354.04 = 158.65/x
  3. Step 3: Cross multiply
    235.94x = 354.04 × 158.65
  4. Step 4: Simplify right side
    235.94x = 56,167.16
  5. Step 5: Solve for x
    x = 56,167.16/235.94
  6. Step 6: Final answer
    x = 238.06

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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.