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Finding the Fourth Proportional to 328.14, 488.70 and 319.47

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Solution

The fourth proportional to 328.14, 488.70 and 319.47 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 488.70 = 319.47 : x
  2. Step 2: Convert to fraction form
    328.14/488.70 = 319.47/x
  3. Step 3: Cross multiply
    328.14x = 488.70 × 319.47
  4. Step 4: Simplify right side
    328.14x = 156,124.99
  5. Step 5: Solve for x
    x = 156,124.99/328.14
  6. Step 6: Final answer
    x = 475.79

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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.