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Finding the Fourth Proportional to 162, 223.36 and 147.32

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Solution

The fourth proportional to 162, 223.36 and 147.32 is: 203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 223.36 = 147.32 : x
  2. Step 2: Convert to fraction form
    162/223.36 = 147.32/x
  3. Step 3: Cross multiply
    162x = 223.36 × 147.32
  4. Step 4: Simplify right side
    162x = 32,904.75
  5. Step 5: Solve for x
    x = 32,904.75/162
  6. Step 6: Final answer
    x = 203.12

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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.