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Finding the Fourth Proportional to 328.64, 490.32 and 313.16

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Solution

The fourth proportional to 328.64, 490.32 and 313.16 is: 467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 490.32 = 313.16 : x
  2. Step 2: Convert to fraction form
    328.64/490.32 = 313.16/x
  3. Step 3: Cross multiply
    328.64x = 490.32 × 313.16
  4. Step 4: Simplify right side
    328.64x = 153,546.16
  5. Step 5: Solve for x
    x = 153,546.16/328.64
  6. Step 6: Final answer
    x = 467.22

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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.