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Finding the Fourth Proportional to 476.99, 715.76 and 268.92

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Solution

The fourth proportional to 476.99, 715.76 and 268.92 is: 403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.99 : 715.76 = 268.92 : x
  2. Step 2: Convert to fraction form
    476.99/715.76 = 268.92/x
  3. Step 3: Cross multiply
    476.99x = 715.76 × 268.92
  4. Step 4: Simplify right side
    476.99x = 192,481.84
  5. Step 5: Solve for x
    x = 192,481.84/476.99
  6. Step 6: Final answer
    x = 403.54

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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.