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Finding the Fourth Proportional to 248.16, 371.98 and 145.47

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Solution

The fourth proportional to 248.16, 371.98 and 145.47 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.16 : 371.98 = 145.47 : x
  2. Step 2: Convert to fraction form
    248.16/371.98 = 145.47/x
  3. Step 3: Cross multiply
    248.16x = 371.98 × 145.47
  4. Step 4: Simplify right side
    248.16x = 54,111.93
  5. Step 5: Solve for x
    x = 54,111.93/248.16
  6. Step 6: Final answer
    x = 218.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.