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Finding the Fourth Proportional to 477.09, 714.96 and 216.99

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Solution

The fourth proportional to 477.09, 714.96 and 216.99 is: 325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.09 : 714.96 = 216.99 : x
  2. Step 2: Convert to fraction form
    477.09/714.96 = 216.99/x
  3. Step 3: Cross multiply
    477.09x = 714.96 × 216.99
  4. Step 4: Simplify right side
    477.09x = 155,139.17
  5. Step 5: Solve for x
    x = 155,139.17/477.09
  6. Step 6: Final answer
    x = 325.18

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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.