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Finding the Fourth Proportional to 236.49, 354.84 and 90.29

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Solution

The fourth proportional to 236.49, 354.84 and 90.29 is: 135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.49 : 354.84 = 90.29 : x
  2. Step 2: Convert to fraction form
    236.49/354.84 = 90.29/x
  3. Step 3: Cross multiply
    236.49x = 354.84 × 90.29
  4. Step 4: Simplify right side
    236.49x = 32,038.83
  5. Step 5: Solve for x
    x = 32,038.83/236.49
  6. Step 6: Final answer
    x = 135.47

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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.