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Finding the Fourth Proportional to 189.81, 283.30 and 162.81

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Solution

The fourth proportional to 189.81, 283.30 and 162.81 is: 243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 283.30 = 162.81 : x
  2. Step 2: Convert to fraction form
    189.81/283.30 = 162.81/x
  3. Step 3: Cross multiply
    189.81x = 283.30 × 162.81
  4. Step 4: Simplify right side
    189.81x = 46,123.67
  5. Step 5: Solve for x
    x = 46,123.67/189.81
  6. Step 6: Final answer
    x = 243.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.