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Finding the Fourth Proportional to 248.33, 370.30 and 214.31

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Solution

The fourth proportional to 248.33, 370.30 and 214.31 is: 319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.33 : 370.30 = 214.31 : x
  2. Step 2: Convert to fraction form
    248.33/370.30 = 214.31/x
  3. Step 3: Cross multiply
    248.33x = 370.30 × 214.31
  4. Step 4: Simplify right side
    248.33x = 79,358.99
  5. Step 5: Solve for x
    x = 79,358.99/248.33
  6. Step 6: Final answer
    x = 319.57

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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.