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Finding the Fourth Proportional to 328.40, 493.32 and 317.46

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Solution

The fourth proportional to 328.40, 493.32 and 317.46 is: 476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.40 : 493.32 = 317.46 : x
  2. Step 2: Convert to fraction form
    328.40/493.32 = 317.46/x
  3. Step 3: Cross multiply
    328.40x = 493.32 × 317.46
  4. Step 4: Simplify right side
    328.40x = 156,609.37
  5. Step 5: Solve for x
    x = 156,609.37/328.40
  6. Step 6: Final answer
    x = 476.89

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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.