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Finding the Fourth Proportional to 257.22, 386.28 and 245.64

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Solution

The fourth proportional to 257.22, 386.28 and 245.64 is: 368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.22 : 386.28 = 245.64 : x
  2. Step 2: Convert to fraction form
    257.22/386.28 = 245.64/x
  3. Step 3: Cross multiply
    257.22x = 386.28 × 245.64
  4. Step 4: Simplify right side
    257.22x = 94,885.82
  5. Step 5: Solve for x
    x = 94,885.82/257.22
  6. Step 6: Final answer
    x = 368.89

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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.