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Finding the Fourth Proportional to 212.73, 317.53 and 188.10

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Solution

The fourth proportional to 212.73, 317.53 and 188.10 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.73 : 317.53 = 188.10 : x
  2. Step 2: Convert to fraction form
    212.73/317.53 = 188.10/x
  3. Step 3: Cross multiply
    212.73x = 317.53 × 188.10
  4. Step 4: Simplify right side
    212.73x = 59,727.39
  5. Step 5: Solve for x
    x = 59,727.39/212.73
  6. Step 6: Final answer
    x = 280.77

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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.