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Finding the Fourth Proportional to 411.36, 615.68 and 302.56

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Solution

The fourth proportional to 411.36, 615.68 and 302.56 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 615.68 = 302.56 : x
  2. Step 2: Convert to fraction form
    411.36/615.68 = 302.56/x
  3. Step 3: Cross multiply
    411.36x = 615.68 × 302.56
  4. Step 4: Simplify right side
    411.36x = 186,280.14
  5. Step 5: Solve for x
    x = 186,280.14/411.36
  6. Step 6: Final answer
    x = 452.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.