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Finding the Fourth Proportional to 241.74, 360.72 and 212.58

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Solution

The fourth proportional to 241.74, 360.72 and 212.58 is: 317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.74 : 360.72 = 212.58 : x
  2. Step 2: Convert to fraction form
    241.74/360.72 = 212.58/x
  3. Step 3: Cross multiply
    241.74x = 360.72 × 212.58
  4. Step 4: Simplify right side
    241.74x = 76,681.86
  5. Step 5: Solve for x
    x = 76,681.86/241.74
  6. Step 6: Final answer
    x = 317.21

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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.