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Finding the Fourth Proportional to 189.04, 260.58 and 150.16

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Solution

The fourth proportional to 189.04, 260.58 and 150.16 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.04 : 260.58 = 150.16 : x
  2. Step 2: Convert to fraction form
    189.04/260.58 = 150.16/x
  3. Step 3: Cross multiply
    189.04x = 260.58 × 150.16
  4. Step 4: Simplify right side
    189.04x = 39,128.69
  5. Step 5: Solve for x
    x = 39,128.69/189.04
  6. Step 6: Final answer
    x = 206.99

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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.