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Finding the Fourth Proportional to 312.73, 466.99 and 296.93

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Solution

The fourth proportional to 312.73, 466.99 and 296.93 is: 443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 466.99 = 296.93 : x
  2. Step 2: Convert to fraction form
    312.73/466.99 = 296.93/x
  3. Step 3: Cross multiply
    312.73x = 466.99 × 296.93
  4. Step 4: Simplify right side
    312.73x = 138,663.77
  5. Step 5: Solve for x
    x = 138,663.77/312.73
  6. Step 6: Final answer
    x = 443.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.