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Finding the Fourth Proportional to 493.66, 681.02 and 307.09

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Solution

The fourth proportional to 493.66, 681.02 and 307.09 is: 423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.66 : 681.02 = 307.09 : x
  2. Step 2: Convert to fraction form
    493.66/681.02 = 307.09/x
  3. Step 3: Cross multiply
    493.66x = 681.02 × 307.09
  4. Step 4: Simplify right side
    493.66x = 209,132.90
  5. Step 5: Solve for x
    x = 209,132.90/493.66
  6. Step 6: Final answer
    x = 423.64

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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.