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Finding the Fourth Proportional to 477.06, 715.04 and 216.67

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Solution

The fourth proportional to 477.06, 715.04 and 216.67 is: 324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 715.04 = 216.67 : x
  2. Step 2: Convert to fraction form
    477.06/715.04 = 216.67/x
  3. Step 3: Cross multiply
    477.06x = 715.04 × 216.67
  4. Step 4: Simplify right side
    477.06x = 154,927.72
  5. Step 5: Solve for x
    x = 154,927.72/477.06
  6. Step 6: Final answer
    x = 324.76

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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.