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Finding the Fourth Proportional to 328.97, 490.10 and 313.49

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Solution

The fourth proportional to 328.97, 490.10 and 313.49 is: 467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.97 : 490.10 = 313.49 : x
  2. Step 2: Convert to fraction form
    328.97/490.10 = 313.49/x
  3. Step 3: Cross multiply
    328.97x = 490.10 × 313.49
  4. Step 4: Simplify right side
    328.97x = 153,641.11
  5. Step 5: Solve for x
    x = 153,641.11/328.97
  6. Step 6: Final answer
    x = 467.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.