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Finding the Fourth Proportional to 293.03, 437.85 and 255.98

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Solution

The fourth proportional to 293.03, 437.85 and 255.98 is: 382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.03 : 437.85 = 255.98 : x
  2. Step 2: Convert to fraction form
    293.03/437.85 = 255.98/x
  3. Step 3: Cross multiply
    293.03x = 437.85 × 255.98
  4. Step 4: Simplify right side
    293.03x = 112,079.61
  5. Step 5: Solve for x
    x = 112,079.61/293.03
  6. Step 6: Final answer
    x = 382.49

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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.