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Finding the Fourth Proportional to 357.06, 488.49 and 355.52

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Solution

The fourth proportional to 357.06, 488.49 and 355.52 is: 486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 488.49 = 355.52 : x
  2. Step 2: Convert to fraction form
    357.06/488.49 = 355.52/x
  3. Step 3: Cross multiply
    357.06x = 488.49 × 355.52
  4. Step 4: Simplify right side
    357.06x = 173,667.96
  5. Step 5: Solve for x
    x = 173,667.96/357.06
  6. Step 6: Final answer
    x = 486.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.