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Finding the Fourth Proportional to 212.94, 317.34 and 203.76

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Solution

The fourth proportional to 212.94, 317.34 and 203.76 is: 303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 317.34 = 203.76 : x
  2. Step 2: Convert to fraction form
    212.94/317.34 = 203.76/x
  3. Step 3: Cross multiply
    212.94x = 317.34 × 203.76
  4. Step 4: Simplify right side
    212.94x = 64,661.20
  5. Step 5: Solve for x
    x = 64,661.20/212.94
  6. Step 6: Final answer
    x = 303.66

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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.