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Finding the Fourth Proportional to 162.60, 224.20 and 141.84

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Solution

The fourth proportional to 162.60, 224.20 and 141.84 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.60 : 224.20 = 141.84 : x
  2. Step 2: Convert to fraction form
    162.60/224.20 = 141.84/x
  3. Step 3: Cross multiply
    162.60x = 224.20 × 141.84
  4. Step 4: Simplify right side
    162.60x = 31,800.71
  5. Step 5: Solve for x
    x = 31,800.71/162.60
  6. Step 6: Final answer
    x = 195.58

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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.