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Finding the Fourth Proportional to 491.16, 734.91 and 296.25

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Solution

The fourth proportional to 491.16, 734.91 and 296.25 is: 443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.16 : 734.91 = 296.25 : x
  2. Step 2: Convert to fraction form
    491.16/734.91 = 296.25/x
  3. Step 3: Cross multiply
    491.16x = 734.91 × 296.25
  4. Step 4: Simplify right side
    491.16x = 217,717.09
  5. Step 5: Solve for x
    x = 217,717.09/491.16
  6. Step 6: Final answer
    x = 443.27

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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.