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Finding the Fourth Proportional to 189.04, 260.62 and 153.94

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Solution

The fourth proportional to 189.04, 260.62 and 153.94 is: 212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.04 : 260.62 = 153.94 : x
  2. Step 2: Convert to fraction form
    189.04/260.62 = 153.94/x
  3. Step 3: Cross multiply
    189.04x = 260.62 × 153.94
  4. Step 4: Simplify right side
    189.04x = 40,119.84
  5. Step 5: Solve for x
    x = 40,119.84/189.04
  6. Step 6: Final answer
    x = 212.23

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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.