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Finding the Fourth Proportional to 248.71, 370.40 and 233.71

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Solution

The fourth proportional to 248.71, 370.40 and 233.71 is: 348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.71 : 370.40 = 233.71 : x
  2. Step 2: Convert to fraction form
    248.71/370.40 = 233.71/x
  3. Step 3: Cross multiply
    248.71x = 370.40 × 233.71
  4. Step 4: Simplify right side
    248.71x = 86,566.18
  5. Step 5: Solve for x
    x = 86,566.18/248.71
  6. Step 6: Final answer
    x = 348.06

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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.