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Finding the Fourth Proportional to 357.51, 493.34 and 202.25

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Solution

The fourth proportional to 357.51, 493.34 and 202.25 is: 279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.51 : 493.34 = 202.25 : x
  2. Step 2: Convert to fraction form
    357.51/493.34 = 202.25/x
  3. Step 3: Cross multiply
    357.51x = 493.34 × 202.25
  4. Step 4: Simplify right side
    357.51x = 99,778.02
  5. Step 5: Solve for x
    x = 99,778.02/357.51
  6. Step 6: Final answer
    x = 279.09

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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.