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Finding the Fourth Proportional to 293.71, 403.40 and 275.64

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Solution

The fourth proportional to 293.71, 403.40 and 275.64 is: 378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.71 : 403.40 = 275.64 : x
  2. Step 2: Convert to fraction form
    293.71/403.40 = 275.64/x
  3. Step 3: Cross multiply
    293.71x = 403.40 × 275.64
  4. Step 4: Simplify right side
    293.71x = 111,193.18
  5. Step 5: Solve for x
    x = 111,193.18/293.71
  6. Step 6: Final answer
    x = 378.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.