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Finding the Fourth Proportional to 252.22, 378.06 and 156.10

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Solution

The fourth proportional to 252.22, 378.06 and 156.10 is: 233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.22 : 378.06 = 156.10 : x
  2. Step 2: Convert to fraction form
    252.22/378.06 = 156.10/x
  3. Step 3: Cross multiply
    252.22x = 378.06 × 156.10
  4. Step 4: Simplify right side
    252.22x = 59,015.17
  5. Step 5: Solve for x
    x = 59,015.17/252.22
  6. Step 6: Final answer
    x = 233.98

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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.