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Finding the Fourth Proportional to 255.30, 384.95 and 246.30

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Solution

The fourth proportional to 255.30, 384.95 and 246.30 is: 371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.30 : 384.95 = 246.30 : x
  2. Step 2: Convert to fraction form
    255.30/384.95 = 246.30/x
  3. Step 3: Cross multiply
    255.30x = 384.95 × 246.30
  4. Step 4: Simplify right side
    255.30x = 94,811.95
  5. Step 5: Solve for x
    x = 94,811.95/255.30
  6. Step 6: Final answer
    x = 371.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.