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Finding the Fourth Proportional to 412.19, 569.28 and 320.05

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Solution

The fourth proportional to 412.19, 569.28 and 320.05 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.19 : 569.28 = 320.05 : x
  2. Step 2: Convert to fraction form
    412.19/569.28 = 320.05/x
  3. Step 3: Cross multiply
    412.19x = 569.28 × 320.05
  4. Step 4: Simplify right side
    412.19x = 182,198.06
  5. Step 5: Solve for x
    x = 182,198.06/412.19
  6. Step 6: Final answer
    x = 442.02

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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.