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Finding the Fourth Proportional to 270.48, 373.02 and 177.23

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Solution

The fourth proportional to 270.48, 373.02 and 177.23 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.48 : 373.02 = 177.23 : x
  2. Step 2: Convert to fraction form
    270.48/373.02 = 177.23/x
  3. Step 3: Cross multiply
    270.48x = 373.02 × 177.23
  4. Step 4: Simplify right side
    270.48x = 66,108.47
  5. Step 5: Solve for x
    x = 66,108.47/270.48
  6. Step 6: Final answer
    x = 244.42

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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.