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Finding the Fourth Proportional to 219.48, 302.53 and 166.81

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Solution

The fourth proportional to 219.48, 302.53 and 166.81 is: 229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.48 : 302.53 = 166.81 : x
  2. Step 2: Convert to fraction form
    219.48/302.53 = 166.81/x
  3. Step 3: Cross multiply
    219.48x = 302.53 × 166.81
  4. Step 4: Simplify right side
    219.48x = 50,465.03
  5. Step 5: Solve for x
    x = 50,465.03/219.48
  6. Step 6: Final answer
    x = 229.93

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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.