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Finding the Fourth Proportional to 270.70, 373.62 and 177.46

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Solution

The fourth proportional to 270.70, 373.62 and 177.46 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.70 : 373.62 = 177.46 : x
  2. Step 2: Convert to fraction form
    270.70/373.62 = 177.46/x
  3. Step 3: Cross multiply
    270.70x = 373.62 × 177.46
  4. Step 4: Simplify right side
    270.70x = 66,302.61
  5. Step 5: Solve for x
    x = 66,302.61/270.70
  6. Step 6: Final answer
    x = 244.93

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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.