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Finding the Fourth Proportional to 410.21, 565.42 and 262.58

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Solution

The fourth proportional to 410.21, 565.42 and 262.58 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.21 : 565.42 = 262.58 : x
  2. Step 2: Convert to fraction form
    410.21/565.42 = 262.58/x
  3. Step 3: Cross multiply
    410.21x = 565.42 × 262.58
  4. Step 4: Simplify right side
    410.21x = 148,466.67
  5. Step 5: Solve for x
    x = 148,466.67/410.21
  6. Step 6: Final answer
    x = 361.93

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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.