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Finding the Fourth Proportional to 477.86, 717.12 and 231.66

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Solution

The fourth proportional to 477.86, 717.12 and 231.66 is: 347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.86 : 717.12 = 231.66 : x
  2. Step 2: Convert to fraction form
    477.86/717.12 = 231.66/x
  3. Step 3: Cross multiply
    477.86x = 717.12 × 231.66
  4. Step 4: Simplify right side
    477.86x = 166,128.02
  5. Step 5: Solve for x
    x = 166,128.02/477.86
  6. Step 6: Final answer
    x = 347.65

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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.