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Finding the Fourth Proportional to 162.14, 223.75 and 88.46

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Solution

The fourth proportional to 162.14, 223.75 and 88.46 is: 122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 223.75 = 88.46 : x
  2. Step 2: Convert to fraction form
    162.14/223.75 = 88.46/x
  3. Step 3: Cross multiply
    162.14x = 223.75 × 88.46
  4. Step 4: Simplify right side
    162.14x = 19,792.42
  5. Step 5: Solve for x
    x = 19,792.42/162.14
  6. Step 6: Final answer
    x = 122.07

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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.