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Finding the Fourth Proportional to 498.30, 748.86 and 255

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Solution

The fourth proportional to 498.30, 748.86 and 255 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.30 : 748.86 = 255 : x
  2. Step 2: Convert to fraction form
    498.30/748.86 = 255/x
  3. Step 3: Cross multiply
    498.30x = 748.86 × 255
  4. Step 4: Simplify right side
    498.30x = 190,959.30
  5. Step 5: Solve for x
    x = 190,959.30/498.30
  6. Step 6: Final answer
    x = 383.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.