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Finding the Fourth Proportional to 356.73, 491.31 and 307.59

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Solution

The fourth proportional to 356.73, 491.31 and 307.59 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.73 : 491.31 = 307.59 : x
  2. Step 2: Convert to fraction form
    356.73/491.31 = 307.59/x
  3. Step 3: Cross multiply
    356.73x = 491.31 × 307.59
  4. Step 4: Simplify right side
    356.73x = 151,122.04
  5. Step 5: Solve for x
    x = 151,122.04/356.73
  6. Step 6: Final answer
    x = 423.63

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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.