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Finding the Fourth Proportional to 255, 382.76 and 191.28

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Solution

The fourth proportional to 255, 382.76 and 191.28 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 382.76 = 191.28 : x
  2. Step 2: Convert to fraction form
    255/382.76 = 191.28/x
  3. Step 3: Cross multiply
    255x = 382.76 × 191.28
  4. Step 4: Simplify right side
    255x = 73,214.33
  5. Step 5: Solve for x
    x = 73,214.33/255
  6. Step 6: Final answer
    x = 287.12

Related Problems

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1.5x scale

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.