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Finding the Fourth Proportional to 189.15, 285.03 and 157.35

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Solution

The fourth proportional to 189.15, 285.03 and 157.35 is: 237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.15 : 285.03 = 157.35 : x
  2. Step 2: Convert to fraction form
    189.15/285.03 = 157.35/x
  3. Step 3: Cross multiply
    189.15x = 285.03 × 157.35
  4. Step 4: Simplify right side
    189.15x = 44,849.47
  5. Step 5: Solve for x
    x = 44,849.47/189.15
  6. Step 6: Final answer
    x = 237.11

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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.