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Finding the Fourth Proportional to 175.83, 243.26 and 154.07

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Solution

The fourth proportional to 175.83, 243.26 and 154.07 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.83 : 243.26 = 154.07 : x
  2. Step 2: Convert to fraction form
    175.83/243.26 = 154.07/x
  3. Step 3: Cross multiply
    175.83x = 243.26 × 154.07
  4. Step 4: Simplify right side
    175.83x = 37,477.08
  5. Step 5: Solve for x
    x = 37,477.08/175.83
  6. Step 6: Final answer
    x = 213.14

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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.