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Finding the Fourth Proportional to 357.68, 493.50 and 202.42

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Solution

The fourth proportional to 357.68, 493.50 and 202.42 is: 279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.68 : 493.50 = 202.42 : x
  2. Step 2: Convert to fraction form
    357.68/493.50 = 202.42/x
  3. Step 3: Cross multiply
    357.68x = 493.50 × 202.42
  4. Step 4: Simplify right side
    357.68x = 99,894.27
  5. Step 5: Solve for x
    x = 99,894.27/357.68
  6. Step 6: Final answer
    x = 279.28

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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.