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Finding the Fourth Proportional to 409.76, 565.43 and 262.14

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Solution

The fourth proportional to 409.76, 565.43 and 262.14 is: 361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.76 : 565.43 = 262.14 : x
  2. Step 2: Convert to fraction form
    409.76/565.43 = 262.14/x
  3. Step 3: Cross multiply
    409.76x = 565.43 × 262.14
  4. Step 4: Simplify right side
    409.76x = 148,219.86
  5. Step 5: Solve for x
    x = 148,219.86/409.76
  6. Step 6: Final answer
    x = 361.72

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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.