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Finding the Fourth Proportional to 371.94, 556.98 and 256.50

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Solution

The fourth proportional to 371.94, 556.98 and 256.50 is: 384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 556.98 = 256.50 : x
  2. Step 2: Convert to fraction form
    371.94/556.98 = 256.50/x
  3. Step 3: Cross multiply
    371.94x = 556.98 × 256.50
  4. Step 4: Simplify right side
    371.94x = 142,865.37
  5. Step 5: Solve for x
    x = 142,865.37/371.94
  6. Step 6: Final answer
    x = 384.11

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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.