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Finding the Fourth Proportional to 642.14, 886.23 and 380.15

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Solution

The fourth proportional to 642.14, 886.23 and 380.15 is: 524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.14 : 886.23 = 380.15 : x
  2. Step 2: Convert to fraction form
    642.14/886.23 = 380.15/x
  3. Step 3: Cross multiply
    642.14x = 886.23 × 380.15
  4. Step 4: Simplify right side
    642.14x = 336,895.90
  5. Step 5: Solve for x
    x = 336,895.90/642.14
  6. Step 6: Final answer
    x = 524.65

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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.