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Finding the Fourth Proportional to 459.54, 633.77 and 282.41

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Solution

The fourth proportional to 459.54, 633.77 and 282.41 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 633.77 = 282.41 : x
  2. Step 2: Convert to fraction form
    459.54/633.77 = 282.41/x
  3. Step 3: Cross multiply
    459.54x = 633.77 × 282.41
  4. Step 4: Simplify right side
    459.54x = 178,985.21
  5. Step 5: Solve for x
    x = 178,985.21/459.54
  6. Step 6: Final answer
    x = 389.49

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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.