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Finding the Fourth Proportional to 248.19, 342.35 and 149.93

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Solution

The fourth proportional to 248.19, 342.35 and 149.93 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.19 : 342.35 = 149.93 : x
  2. Step 2: Convert to fraction form
    248.19/342.35 = 149.93/x
  3. Step 3: Cross multiply
    248.19x = 342.35 × 149.93
  4. Step 4: Simplify right side
    248.19x = 51,328.54
  5. Step 5: Solve for x
    x = 51,328.54/248.19
  6. Step 6: Final answer
    x = 206.81

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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.