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Finding the Fourth Proportional to 274.35, 378.64 and 176.07

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Solution

The fourth proportional to 274.35, 378.64 and 176.07 is: 243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 378.64 = 176.07 : x
  2. Step 2: Convert to fraction form
    274.35/378.64 = 176.07/x
  3. Step 3: Cross multiply
    274.35x = 378.64 × 176.07
  4. Step 4: Simplify right side
    274.35x = 66,666.26
  5. Step 5: Solve for x
    x = 66,666.26/274.35
  6. Step 6: Final answer
    x = 243.00

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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.