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Finding the Fourth Proportional to 293.73, 438.95 and 256.83

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Solution

The fourth proportional to 293.73, 438.95 and 256.83 is: 383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.73 : 438.95 = 256.83 : x
  2. Step 2: Convert to fraction form
    293.73/438.95 = 256.83/x
  3. Step 3: Cross multiply
    293.73x = 438.95 × 256.83
  4. Step 4: Simplify right side
    293.73x = 112,734.24
  5. Step 5: Solve for x
    x = 112,734.24/293.73
  6. Step 6: Final answer
    x = 383.80

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Why These Related Problems?

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