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Finding the Fourth Proportional to 319.59, 476.19 and 307.80

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Solution

The fourth proportional to 319.59, 476.19 and 307.80 is: 458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.59 : 476.19 = 307.80 : x
  2. Step 2: Convert to fraction form
    319.59/476.19 = 307.80/x
  3. Step 3: Cross multiply
    319.59x = 476.19 × 307.80
  4. Step 4: Simplify right side
    319.59x = 146,571.28
  5. Step 5: Solve for x
    x = 146,571.28/319.59
  6. Step 6: Final answer
    x = 458.62

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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.