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Finding the Fourth Proportional to 257.54, 354.68 and 241.07

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Solution

The fourth proportional to 257.54, 354.68 and 241.07 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.54 : 354.68 = 241.07 : x
  2. Step 2: Convert to fraction form
    257.54/354.68 = 241.07/x
  3. Step 3: Cross multiply
    257.54x = 354.68 × 241.07
  4. Step 4: Simplify right side
    257.54x = 85,502.71
  5. Step 5: Solve for x
    x = 85,502.71/257.54
  6. Step 6: Final answer
    x = 332.00

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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.