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Finding the Fourth Proportional to 459.68, 634.50 and 282.70

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Solution

The fourth proportional to 459.68, 634.50 and 282.70 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.68 : 634.50 = 282.70 : x
  2. Step 2: Convert to fraction form
    459.68/634.50 = 282.70/x
  3. Step 3: Cross multiply
    459.68x = 634.50 × 282.70
  4. Step 4: Simplify right side
    459.68x = 179,371.30
  5. Step 5: Solve for x
    x = 179,371.30/459.68
  6. Step 6: Final answer
    x = 390.21

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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.