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Finding the Fourth Proportional to 410.74, 566.65 and 279.85

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Solution

The fourth proportional to 410.74, 566.65 and 279.85 is: 386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.74 : 566.65 = 279.85 : x
  2. Step 2: Convert to fraction form
    410.74/566.65 = 279.85/x
  3. Step 3: Cross multiply
    410.74x = 566.65 × 279.85
  4. Step 4: Simplify right side
    410.74x = 158,577.00
  5. Step 5: Solve for x
    x = 158,577.00/410.74
  6. Step 6: Final answer
    x = 386.08

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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.