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Finding the Fourth Proportional to 180.23, 248.13 and 152.55

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Solution

The fourth proportional to 180.23, 248.13 and 152.55 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 248.13 = 152.55 : x
  2. Step 2: Convert to fraction form
    180.23/248.13 = 152.55/x
  3. Step 3: Cross multiply
    180.23x = 248.13 × 152.55
  4. Step 4: Simplify right side
    180.23x = 37,852.23
  5. Step 5: Solve for x
    x = 37,852.23/180.23
  6. Step 6: Final answer
    x = 210.03

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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.