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Finding the Fourth Proportional to 162.99, 223.47 and 160.08

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Solution

The fourth proportional to 162.99, 223.47 and 160.08 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.99 : 223.47 = 160.08 : x
  2. Step 2: Convert to fraction form
    162.99/223.47 = 160.08/x
  3. Step 3: Cross multiply
    162.99x = 223.47 × 160.08
  4. Step 4: Simplify right side
    162.99x = 35,773.08
  5. Step 5: Solve for x
    x = 35,773.08/162.99
  6. Step 6: Final answer
    x = 219.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.