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Finding the Fourth Proportional to 458.89, 633.18 and 262.39

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Solution

The fourth proportional to 458.89, 633.18 and 262.39 is: 362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.89 : 633.18 = 262.39 : x
  2. Step 2: Convert to fraction form
    458.89/633.18 = 262.39/x
  3. Step 3: Cross multiply
    458.89x = 633.18 × 262.39
  4. Step 4: Simplify right side
    458.89x = 166,140.10
  5. Step 5: Solve for x
    x = 166,140.10/458.89
  6. Step 6: Final answer
    x = 362.05

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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.