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Finding the Fourth Proportional to 212.58, 317.74 and 184.94

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Solution

The fourth proportional to 212.58, 317.74 and 184.94 is: 276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 317.74 = 184.94 : x
  2. Step 2: Convert to fraction form
    212.58/317.74 = 184.94/x
  3. Step 3: Cross multiply
    212.58x = 317.74 × 184.94
  4. Step 4: Simplify right side
    212.58x = 58,762.84
  5. Step 5: Solve for x
    x = 58,762.84/212.58
  6. Step 6: Final answer
    x = 276.43

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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.