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Finding the Fourth Proportional to 397.84, 597.08 and 282.40

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Solution

The fourth proportional to 397.84, 597.08 and 282.40 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 597.08 = 282.40 : x
  2. Step 2: Convert to fraction form
    397.84/597.08 = 282.40/x
  3. Step 3: Cross multiply
    397.84x = 597.08 × 282.40
  4. Step 4: Simplify right side
    397.84x = 168,615.39
  5. Step 5: Solve for x
    x = 168,615.39/397.84
  6. Step 6: Final answer
    x = 423.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.