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Finding the Fourth Proportional to 162.42, 223.58 and 141.40

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Solution

The fourth proportional to 162.42, 223.58 and 141.40 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 223.58 = 141.40 : x
  2. Step 2: Convert to fraction form
    162.42/223.58 = 141.40/x
  3. Step 3: Cross multiply
    162.42x = 223.58 × 141.40
  4. Step 4: Simplify right side
    162.42x = 31,614.21
  5. Step 5: Solve for x
    x = 31,614.21/162.42
  6. Step 6: Final answer
    x = 194.64

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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.