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Finding the Fourth Proportional to 270.70, 373.61 and 165.85

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Solution

The fourth proportional to 270.70, 373.61 and 165.85 is: 228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.70 : 373.61 = 165.85 : x
  2. Step 2: Convert to fraction form
    270.70/373.61 = 165.85/x
  3. Step 3: Cross multiply
    270.70x = 373.61 × 165.85
  4. Step 4: Simplify right side
    270.70x = 61,963.22
  5. Step 5: Solve for x
    x = 61,963.22/270.70
  6. Step 6: Final answer
    x = 228.90

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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.