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Finding the Fourth Proportional to 357.70, 493.52 and 225.06

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Solution

The fourth proportional to 357.70, 493.52 and 225.06 is: 310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.70 : 493.52 = 225.06 : x
  2. Step 2: Convert to fraction form
    357.70/493.52 = 225.06/x
  3. Step 3: Cross multiply
    357.70x = 493.52 × 225.06
  4. Step 4: Simplify right side
    357.70x = 111,070.15
  5. Step 5: Solve for x
    x = 111,070.15/357.70
  6. Step 6: Final answer
    x = 310.51

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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.