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Finding the Fourth Proportional to 274.40, 378.66 and 156.38

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Solution

The fourth proportional to 274.40, 378.66 and 156.38 is: 215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.40 : 378.66 = 156.38 : x
  2. Step 2: Convert to fraction form
    274.40/378.66 = 156.38/x
  3. Step 3: Cross multiply
    274.40x = 378.66 × 156.38
  4. Step 4: Simplify right side
    274.40x = 59,214.38
  5. Step 5: Solve for x
    x = 59,214.38/274.40
  6. Step 6: Final answer
    x = 215.80

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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.