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Finding the Fourth Proportional to 328.64, 489.68 and 313.92

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Solution

The fourth proportional to 328.64, 489.68 and 313.92 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.64 : 489.68 = 313.92 : x
  2. Step 2: Convert to fraction form
    328.64/489.68 = 313.92/x
  3. Step 3: Cross multiply
    328.64x = 489.68 × 313.92
  4. Step 4: Simplify right side
    328.64x = 153,720.35
  5. Step 5: Solve for x
    x = 153,720.35/328.64
  6. Step 6: Final answer
    x = 467.75

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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.