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Finding the Fourth Proportional to 182.65, 272.81 and 157.05

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Solution

The fourth proportional to 182.65, 272.81 and 157.05 is: 234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.65 : 272.81 = 157.05 : x
  2. Step 2: Convert to fraction form
    182.65/272.81 = 157.05/x
  3. Step 3: Cross multiply
    182.65x = 272.81 × 157.05
  4. Step 4: Simplify right side
    182.65x = 42,844.81
  5. Step 5: Solve for x
    x = 42,844.81/182.65
  6. Step 6: Final answer
    x = 234.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.