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Finding the Fourth Proportional to 340.76, 466.72 and 320.81

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Solution

The fourth proportional to 340.76, 466.72 and 320.81 is: 439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 466.72 = 320.81 : x
  2. Step 2: Convert to fraction form
    340.76/466.72 = 320.81/x
  3. Step 3: Cross multiply
    340.76x = 466.72 × 320.81
  4. Step 4: Simplify right side
    340.76x = 149,726.47
  5. Step 5: Solve for x
    x = 149,726.47/340.76
  6. Step 6: Final answer
    x = 439.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.