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Finding the Fourth Proportional to 178.00, 245.73 and 138.59

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Solution

The fourth proportional to 178.00, 245.73 and 138.59 is: 191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.00 : 245.73 = 138.59 : x
  2. Step 2: Convert to fraction form
    178.00/245.73 = 138.59/x
  3. Step 3: Cross multiply
    178.00x = 245.73 × 138.59
  4. Step 4: Simplify right side
    178.00x = 34,055.24
  5. Step 5: Solve for x
    x = 34,055.24/178.00
  6. Step 6: Final answer
    x = 191.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.