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Finding the Fourth Proportional to 491.13, 676.76 and 359.91

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Solution

The fourth proportional to 491.13, 676.76 and 359.91 is: 495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.13 : 676.76 = 359.91 : x
  2. Step 2: Convert to fraction form
    491.13/676.76 = 359.91/x
  3. Step 3: Cross multiply
    491.13x = 676.76 × 359.91
  4. Step 4: Simplify right side
    491.13x = 243,570.89
  5. Step 5: Solve for x
    x = 243,570.89/491.13
  6. Step 6: Final answer
    x = 495.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.