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Finding the Fourth Proportional to 357.51, 493.38 and 279.75

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Solution

The fourth proportional to 357.51, 493.38 and 279.75 is: 386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.51 : 493.38 = 279.75 : x
  2. Step 2: Convert to fraction form
    357.51/493.38 = 279.75/x
  3. Step 3: Cross multiply
    357.51x = 493.38 × 279.75
  4. Step 4: Simplify right side
    357.51x = 138,023.06
  5. Step 5: Solve for x
    x = 138,023.06/357.51
  6. Step 6: Final answer
    x = 386.07

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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.