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Finding the Fourth Proportional to 357.69, 493.25 and 241.05

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Solution

The fourth proportional to 357.69, 493.25 and 241.05 is: 332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.69 : 493.25 = 241.05 : x
  2. Step 2: Convert to fraction form
    357.69/493.25 = 241.05/x
  3. Step 3: Cross multiply
    357.69x = 493.25 × 241.05
  4. Step 4: Simplify right side
    357.69x = 118,896.71
  5. Step 5: Solve for x
    x = 118,896.71/357.69
  6. Step 6: Final answer
    x = 332.40

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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.