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Finding the Fourth Proportional to 357.50, 536.25 and 129.50

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Solution

The fourth proportional to 357.50, 536.25 and 129.50 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.50 : 536.25 = 129.50 : x
  2. Step 2: Convert to fraction form
    357.50/536.25 = 129.50/x
  3. Step 3: Cross multiply
    357.50x = 536.25 × 129.50
  4. Step 4: Simplify right side
    357.50x = 69,444.38
  5. Step 5: Solve for x
    x = 69,444.38/357.50
  6. Step 6: Final answer
    x = 194.25

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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.