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Finding the Fourth Proportional to 372.16, 556.04 and 255.76

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Solution

The fourth proportional to 372.16, 556.04 and 255.76 is: 382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.16 : 556.04 = 255.76 : x
  2. Step 2: Convert to fraction form
    372.16/556.04 = 255.76/x
  3. Step 3: Cross multiply
    372.16x = 556.04 × 255.76
  4. Step 4: Simplify right side
    372.16x = 142,212.79
  5. Step 5: Solve for x
    x = 142,212.79/372.16
  6. Step 6: Final answer
    x = 382.13

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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.