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Finding the Fourth Proportional to 409.99, 565.95 and 262.71

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Solution

The fourth proportional to 409.99, 565.95 and 262.71 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.99 : 565.95 = 262.71 : x
  2. Step 2: Convert to fraction form
    409.99/565.95 = 262.71/x
  3. Step 3: Cross multiply
    409.99x = 565.95 × 262.71
  4. Step 4: Simplify right side
    409.99x = 148,680.72
  5. Step 5: Solve for x
    x = 148,680.72/409.99
  6. Step 6: Final answer
    x = 362.64

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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.