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Finding the Fourth Proportional to 328.62, 491.60 and 246.31

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Solution

The fourth proportional to 328.62, 491.60 and 246.31 is: 368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.62 : 491.60 = 246.31 : x
  2. Step 2: Convert to fraction form
    328.62/491.60 = 246.31/x
  3. Step 3: Cross multiply
    328.62x = 491.60 × 246.31
  4. Step 4: Simplify right side
    328.62x = 121,085.38
  5. Step 5: Solve for x
    x = 121,085.38/328.62
  6. Step 6: Final answer
    x = 368.46

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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.