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Finding the Fourth Proportional to 293.45, 438.22 and 257

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Solution

The fourth proportional to 293.45, 438.22 and 257 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 438.22 = 257 : x
  2. Step 2: Convert to fraction form
    293.45/438.22 = 257/x
  3. Step 3: Cross multiply
    293.45x = 438.22 × 257
  4. Step 4: Simplify right side
    293.45x = 112,621.26
  5. Step 5: Solve for x
    x = 112,621.26/293.45
  6. Step 6: Final answer
    x = 383.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.