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Finding the Fourth Proportional to 409.85, 565.71 and 285.50

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Solution

The fourth proportional to 409.85, 565.71 and 285.50 is: 394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 565.71 = 285.50 : x
  2. Step 2: Convert to fraction form
    409.85/565.71 = 285.50/x
  3. Step 3: Cross multiply
    409.85x = 565.71 × 285.50
  4. Step 4: Simplify right side
    409.85x = 161,510.21
  5. Step 5: Solve for x
    x = 161,510.21/409.85
  6. Step 6: Final answer
    x = 394.07

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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.