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Finding the Fourth Proportional to 411.20, 566.16 and 346.40

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Solution

The fourth proportional to 411.20, 566.16 and 346.40 is: 476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 566.16 = 346.40 : x
  2. Step 2: Convert to fraction form
    411.20/566.16 = 346.40/x
  3. Step 3: Cross multiply
    411.20x = 566.16 × 346.40
  4. Step 4: Simplify right side
    411.20x = 196,117.82
  5. Step 5: Solve for x
    x = 196,117.82/411.20
  6. Step 6: Final answer
    x = 476.94

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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.