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Finding the Fourth Proportional to 212.18, 317.61 and 120.60

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Solution

The fourth proportional to 212.18, 317.61 and 120.60 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.18 : 317.61 = 120.60 : x
  2. Step 2: Convert to fraction form
    212.18/317.61 = 120.60/x
  3. Step 3: Cross multiply
    212.18x = 317.61 × 120.60
  4. Step 4: Simplify right side
    212.18x = 38,303.77
  5. Step 5: Solve for x
    x = 38,303.77/212.18
  6. Step 6: Final answer
    x = 180.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.