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Finding the Fourth Proportional to 162.02, 223.02 and 129.20

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Solution

The fourth proportional to 162.02, 223.02 and 129.20 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 223.02 = 129.20 : x
  2. Step 2: Convert to fraction form
    162.02/223.02 = 129.20/x
  3. Step 3: Cross multiply
    162.02x = 223.02 × 129.20
  4. Step 4: Simplify right side
    162.02x = 28,814.18
  5. Step 5: Solve for x
    x = 28,814.18/162.02
  6. Step 6: Final answer
    x = 177.84

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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.