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Finding the Fourth Proportional to 410.90, 566.26 and 279.68

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Solution

The fourth proportional to 410.90, 566.26 and 279.68 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.90 : 566.26 = 279.68 : x
  2. Step 2: Convert to fraction form
    410.90/566.26 = 279.68/x
  3. Step 3: Cross multiply
    410.90x = 566.26 × 279.68
  4. Step 4: Simplify right side
    410.90x = 158,368.07
  5. Step 5: Solve for x
    x = 158,368.07/410.90
  6. Step 6: Final answer
    x = 385.42

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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.