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Finding the Fourth Proportional to 325.62, 491.27 and 289.98

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Solution

The fourth proportional to 325.62, 491.27 and 289.98 is: 437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.62 : 491.27 = 289.98 : x
  2. Step 2: Convert to fraction form
    325.62/491.27 = 289.98/x
  3. Step 3: Cross multiply
    325.62x = 491.27 × 289.98
  4. Step 4: Simplify right side
    325.62x = 142,457.02
  5. Step 5: Solve for x
    x = 142,457.02/325.62
  6. Step 6: Final answer
    x = 437.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.