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Finding the Fourth Proportional to 410.64, 567.05 and 279.96

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Solution

The fourth proportional to 410.64, 567.05 and 279.96 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.64 : 567.05 = 279.96 : x
  2. Step 2: Convert to fraction form
    410.64/567.05 = 279.96/x
  3. Step 3: Cross multiply
    410.64x = 567.05 × 279.96
  4. Step 4: Simplify right side
    410.64x = 158,749.92
  5. Step 5: Solve for x
    x = 158,749.92/410.64
  6. Step 6: Final answer
    x = 386.59

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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.