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Finding the Fourth Proportional to 357.50, 538.68 and 318.21

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Solution

The fourth proportional to 357.50, 538.68 and 318.21 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 538.68 = 318.21 : x
  2. Step 2: Convert to fraction form
    357.50/538.68 = 318.21/x
  3. Step 3: Cross multiply
    357.50x = 538.68 × 318.21
  4. Step 4: Simplify right side
    357.50x = 171,413.36
  5. Step 5: Solve for x
    x = 171,413.36/357.50
  6. Step 6: Final answer
    x = 479.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.