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Finding the Fourth Proportional to 319.55, 482.05 and 306.79

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Solution

The fourth proportional to 319.55, 482.05 and 306.79 is: 462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.55 : 482.05 = 306.79 : x
  2. Step 2: Convert to fraction form
    319.55/482.05 = 306.79/x
  3. Step 3: Cross multiply
    319.55x = 482.05 × 306.79
  4. Step 4: Simplify right side
    319.55x = 147,887.30
  5. Step 5: Solve for x
    x = 147,887.30/319.55
  6. Step 6: Final answer
    x = 462.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.