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Finding the Fourth Proportional to 176.78, 244.22 and 152.18

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Solution

The fourth proportional to 176.78, 244.22 and 152.18 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 244.22 = 152.18 : x
  2. Step 2: Convert to fraction form
    176.78/244.22 = 152.18/x
  3. Step 3: Cross multiply
    176.78x = 244.22 × 152.18
  4. Step 4: Simplify right side
    176.78x = 37,164.33
  5. Step 5: Solve for x
    x = 37,164.33/176.78
  6. Step 6: Final answer
    x = 210.23

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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.