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Finding the Fourth Proportional to 289.85, 398.57 and 248.22

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Solution

The fourth proportional to 289.85, 398.57 and 248.22 is: 341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 398.57 = 248.22 : x
  2. Step 2: Convert to fraction form
    289.85/398.57 = 248.22/x
  3. Step 3: Cross multiply
    289.85x = 398.57 × 248.22
  4. Step 4: Simplify right side
    289.85x = 98,931.80
  5. Step 5: Solve for x
    x = 98,931.80/289.85
  6. Step 6: Final answer
    x = 341.33

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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.