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Finding the Fourth Proportional to 491.17, 736.53 and 217.19

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Solution

The fourth proportional to 491.17, 736.53 and 217.19 is: 325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.17 : 736.53 = 217.19 : x
  2. Step 2: Convert to fraction form
    491.17/736.53 = 217.19/x
  3. Step 3: Cross multiply
    491.17x = 736.53 × 217.19
  4. Step 4: Simplify right side
    491.17x = 159,966.95
  5. Step 5: Solve for x
    x = 159,966.95/491.17
  6. Step 6: Final answer
    x = 325.69

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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.