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Finding the Fourth Proportional to 410.59, 566.44 and 255.25

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Solution

The fourth proportional to 410.59, 566.44 and 255.25 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.59 : 566.44 = 255.25 : x
  2. Step 2: Convert to fraction form
    410.59/566.44 = 255.25/x
  3. Step 3: Cross multiply
    410.59x = 566.44 × 255.25
  4. Step 4: Simplify right side
    410.59x = 144,583.81
  5. Step 5: Solve for x
    x = 144,583.81/410.59
  6. Step 6: Final answer
    x = 352.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.