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Finding the Fourth Proportional to 458.05, 632.18 and 261.62

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Solution

The fourth proportional to 458.05, 632.18 and 261.62 is: 361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.05 : 632.18 = 261.62 : x
  2. Step 2: Convert to fraction form
    458.05/632.18 = 261.62/x
  3. Step 3: Cross multiply
    458.05x = 632.18 × 261.62
  4. Step 4: Simplify right side
    458.05x = 165,390.93
  5. Step 5: Solve for x
    x = 165,390.93/458.05
  6. Step 6: Final answer
    x = 361.08

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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.