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Finding the Fourth Proportional to 411.40, 569.06 and 335.56

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Solution

The fourth proportional to 411.40, 569.06 and 335.56 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 569.06 = 335.56 : x
  2. Step 2: Convert to fraction form
    411.40/569.06 = 335.56/x
  3. Step 3: Cross multiply
    411.40x = 569.06 × 335.56
  4. Step 4: Simplify right side
    411.40x = 190,953.77
  5. Step 5: Solve for x
    x = 190,953.77/411.40
  6. Step 6: Final answer
    x = 464.16

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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.