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Finding the Fourth Proportional to 292.83, 436.77 and 254.00

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Solution

The fourth proportional to 292.83, 436.77 and 254.00 is: 378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 436.77 = 254.00 : x
  2. Step 2: Convert to fraction form
    292.83/436.77 = 254.00/x
  3. Step 3: Cross multiply
    292.83x = 436.77 × 254.00
  4. Step 4: Simplify right side
    292.83x = 110,941.41
  5. Step 5: Solve for x
    x = 110,941.41/292.83
  6. Step 6: Final answer
    x = 378.86

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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.