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Finding the Fourth Proportional to 410.99, 566.95 and 255.47

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Solution

The fourth proportional to 410.99, 566.95 and 255.47 is: 352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 566.95 = 255.47 : x
  2. Step 2: Convert to fraction form
    410.99/566.95 = 255.47/x
  3. Step 3: Cross multiply
    410.99x = 566.95 × 255.47
  4. Step 4: Simplify right side
    410.99x = 144,838.72
  5. Step 5: Solve for x
    x = 144,838.72/410.99
  6. Step 6: Final answer
    x = 352.41

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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.