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Finding the Fourth Proportional to 162.27, 222.53 and 145.85

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Solution

The fourth proportional to 162.27, 222.53 and 145.85 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.27 : 222.53 = 145.85 : x
  2. Step 2: Convert to fraction form
    162.27/222.53 = 145.85/x
  3. Step 3: Cross multiply
    162.27x = 222.53 × 145.85
  4. Step 4: Simplify right side
    162.27x = 32,454.16
  5. Step 5: Solve for x
    x = 32,454.16/162.27
  6. Step 6: Final answer
    x = 200.00

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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.