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Finding the Fourth Proportional to 379.88, 524.51 and 306.53

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Solution

The fourth proportional to 379.88, 524.51 and 306.53 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 524.51 = 306.53 : x
  2. Step 2: Convert to fraction form
    379.88/524.51 = 306.53/x
  3. Step 3: Cross multiply
    379.88x = 524.51 × 306.53
  4. Step 4: Simplify right side
    379.88x = 160,773.90
  5. Step 5: Solve for x
    x = 160,773.90/379.88
  6. Step 6: Final answer
    x = 423.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.