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Finding the Fourth Proportional to 189.55, 285.61 and 156.06

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Solution

The fourth proportional to 189.55, 285.61 and 156.06 is: 235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.55 : 285.61 = 156.06 : x
  2. Step 2: Convert to fraction form
    189.55/285.61 = 156.06/x
  3. Step 3: Cross multiply
    189.55x = 285.61 × 156.06
  4. Step 4: Simplify right side
    189.55x = 44,572.30
  5. Step 5: Solve for x
    x = 44,572.30/189.55
  6. Step 6: Final answer
    x = 235.15

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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.