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Finding the Fourth Proportional to 458.65, 633.05 and 262.28

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Solution

The fourth proportional to 458.65, 633.05 and 262.28 is: 362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.65 : 633.05 = 262.28 : x
  2. Step 2: Convert to fraction form
    458.65/633.05 = 262.28/x
  3. Step 3: Cross multiply
    458.65x = 633.05 × 262.28
  4. Step 4: Simplify right side
    458.65x = 166,034.05
  5. Step 5: Solve for x
    x = 166,034.05/458.65
  6. Step 6: Final answer
    x = 362.01

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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.