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Finding the Fourth Proportional to 477.12, 716.32 and 246.16

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Solution

The fourth proportional to 477.12, 716.32 and 246.16 is: 369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 716.32 = 246.16 : x
  2. Step 2: Convert to fraction form
    477.12/716.32 = 246.16/x
  3. Step 3: Cross multiply
    477.12x = 716.32 × 246.16
  4. Step 4: Simplify right side
    477.12x = 176,329.33
  5. Step 5: Solve for x
    x = 176,329.33/477.12
  6. Step 6: Final answer
    x = 369.57

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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.