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Finding the Fourth Proportional to 245.98, 339.14 and 214.60

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Solution

The fourth proportional to 245.98, 339.14 and 214.60 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.98 : 339.14 = 214.60 : x
  2. Step 2: Convert to fraction form
    245.98/339.14 = 214.60/x
  3. Step 3: Cross multiply
    245.98x = 339.14 × 214.60
  4. Step 4: Simplify right side
    245.98x = 72,779.44
  5. Step 5: Solve for x
    x = 72,779.44/245.98
  6. Step 6: Final answer
    x = 295.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.