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Finding the Fourth Proportional to 437.84, 603.96 and 282.68

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Solution

The fourth proportional to 437.84, 603.96 and 282.68 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 603.96 = 282.68 : x
  2. Step 2: Convert to fraction form
    437.84/603.96 = 282.68/x
  3. Step 3: Cross multiply
    437.84x = 603.96 × 282.68
  4. Step 4: Simplify right side
    437.84x = 170,727.41
  5. Step 5: Solve for x
    x = 170,727.41/437.84
  6. Step 6: Final answer
    x = 389.93

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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.