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Finding the Fourth Proportional to 411.80, 566.98 and 346.16

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Solution

The fourth proportional to 411.80, 566.98 and 346.16 is: 476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 566.98 = 346.16 : x
  2. Step 2: Convert to fraction form
    411.80/566.98 = 346.16/x
  3. Step 3: Cross multiply
    411.80x = 566.98 × 346.16
  4. Step 4: Simplify right side
    411.80x = 196,265.80
  5. Step 5: Solve for x
    x = 196,265.80/411.80
  6. Step 6: Final answer
    x = 476.60

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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.