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Finding the Fourth Proportional to 212.56, 317.45 and 172.06

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Solution

The fourth proportional to 212.56, 317.45 and 172.06 is: 256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.56 : 317.45 = 172.06 : x
  2. Step 2: Convert to fraction form
    212.56/317.45 = 172.06/x
  3. Step 3: Cross multiply
    212.56x = 317.45 × 172.06
  4. Step 4: Simplify right side
    212.56x = 54,620.45
  5. Step 5: Solve for x
    x = 54,620.45/212.56
  6. Step 6: Final answer
    x = 256.96

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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.