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Finding the Fourth Proportional to 296.64, 442.76 and 255.33

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Solution

The fourth proportional to 296.64, 442.76 and 255.33 is: 381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 442.76 = 255.33 : x
  2. Step 2: Convert to fraction form
    296.64/442.76 = 255.33/x
  3. Step 3: Cross multiply
    296.64x = 442.76 × 255.33
  4. Step 4: Simplify right side
    296.64x = 113,048.63
  5. Step 5: Solve for x
    x = 113,048.63/296.64
  6. Step 6: Final answer
    x = 381.10

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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.