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Finding the Fourth Proportional to 458.78, 632.89 and 262.17

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Solution

The fourth proportional to 458.78, 632.89 and 262.17 is: 361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.78 : 632.89 = 262.17 : x
  2. Step 2: Convert to fraction form
    458.78/632.89 = 262.17/x
  3. Step 3: Cross multiply
    458.78x = 632.89 × 262.17
  4. Step 4: Simplify right side
    458.78x = 165,926.78
  5. Step 5: Solve for x
    x = 165,926.78/458.78
  6. Step 6: Final answer
    x = 361.67

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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.