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Finding the Fourth Proportional to 357.15, 492.42 and 225.93

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Solution

The fourth proportional to 357.15, 492.42 and 225.93 is: 311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.15 : 492.42 = 225.93 : x
  2. Step 2: Convert to fraction form
    357.15/492.42 = 225.93/x
  3. Step 3: Cross multiply
    357.15x = 492.42 × 225.93
  4. Step 4: Simplify right side
    357.15x = 111,252.45
  5. Step 5: Solve for x
    x = 111,252.45/357.15
  6. Step 6: Final answer
    x = 311.50

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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.