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Finding the Fourth Proportional to 245.85, 368.38 and 143.22

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Solution

The fourth proportional to 245.85, 368.38 and 143.22 is: 214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.85 : 368.38 = 143.22 : x
  2. Step 2: Convert to fraction form
    245.85/368.38 = 143.22/x
  3. Step 3: Cross multiply
    245.85x = 368.38 × 143.22
  4. Step 4: Simplify right side
    245.85x = 52,759.82
  5. Step 5: Solve for x
    x = 52,759.82/245.85
  6. Step 6: Final answer
    x = 214.60

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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.