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Finding the Fourth Proportional to 189.58, 285.44 and 168.04

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Solution

The fourth proportional to 189.58, 285.44 and 168.04 is: 253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.58 : 285.44 = 168.04 : x
  2. Step 2: Convert to fraction form
    189.58/285.44 = 168.04/x
  3. Step 3: Cross multiply
    189.58x = 285.44 × 168.04
  4. Step 4: Simplify right side
    189.58x = 47,964.50
  5. Step 5: Solve for x
    x = 47,964.50/189.58
  6. Step 6: Final answer
    x = 253.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.