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Finding the Fourth Proportional to 409.91, 565.94 and 312.17

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Solution

The fourth proportional to 409.91, 565.94 and 312.17 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.91 : 565.94 = 312.17 : x
  2. Step 2: Convert to fraction form
    409.91/565.94 = 312.17/x
  3. Step 3: Cross multiply
    409.91x = 565.94 × 312.17
  4. Step 4: Simplify right side
    409.91x = 176,667.44
  5. Step 5: Solve for x
    x = 176,667.44/409.91
  6. Step 6: Final answer
    x = 431.00

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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.