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Finding the Fourth Proportional to 158.63, 238.75 and 135.14

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Solution

The fourth proportional to 158.63, 238.75 and 135.14 is: 203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.63 : 238.75 = 135.14 : x
  2. Step 2: Convert to fraction form
    158.63/238.75 = 135.14/x
  3. Step 3: Cross multiply
    158.63x = 238.75 × 135.14
  4. Step 4: Simplify right side
    158.63x = 32,263.14
  5. Step 5: Solve for x
    x = 32,263.14/158.63
  6. Step 6: Final answer
    x = 203.39

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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.