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Finding the Fourth Proportional to 248.35, 370.85 and 202.79

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Solution

The fourth proportional to 248.35, 370.85 and 202.79 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.35 : 370.85 = 202.79 : x
  2. Step 2: Convert to fraction form
    248.35/370.85 = 202.79/x
  3. Step 3: Cross multiply
    248.35x = 370.85 × 202.79
  4. Step 4: Simplify right side
    248.35x = 75,205.10
  5. Step 5: Solve for x
    x = 75,205.10/248.35
  6. Step 6: Final answer
    x = 302.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.