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Finding the Fourth Proportional to 162.07, 223.46 and 130.87

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Solution

The fourth proportional to 162.07, 223.46 and 130.87 is: 180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 223.46 = 130.87 : x
  2. Step 2: Convert to fraction form
    162.07/223.46 = 130.87/x
  3. Step 3: Cross multiply
    162.07x = 223.46 × 130.87
  4. Step 4: Simplify right side
    162.07x = 29,243.56
  5. Step 5: Solve for x
    x = 29,243.56/162.07
  6. Step 6: Final answer
    x = 180.44

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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.