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Finding the Fourth Proportional to 189.84, 283.20 and 162.48

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Solution

The fourth proportional to 189.84, 283.20 and 162.48 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 283.20 = 162.48 : x
  2. Step 2: Convert to fraction form
    189.84/283.20 = 162.48/x
  3. Step 3: Cross multiply
    189.84x = 283.20 × 162.48
  4. Step 4: Simplify right side
    189.84x = 46,014.34
  5. Step 5: Solve for x
    x = 46,014.34/189.84
  6. Step 6: Final answer
    x = 242.38

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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.