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Finding the Fourth Proportional to 495.16, 683.20 and 282.49

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Solution

The fourth proportional to 495.16, 683.20 and 282.49 is: 389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.16 : 683.20 = 282.49 : x
  2. Step 2: Convert to fraction form
    495.16/683.20 = 282.49/x
  3. Step 3: Cross multiply
    495.16x = 683.20 × 282.49
  4. Step 4: Simplify right side
    495.16x = 192,995.81
  5. Step 5: Solve for x
    x = 192,995.81/495.16
  6. Step 6: Final answer
    x = 389.76

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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.