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Finding the Fourth Proportional to 642.12, 886.10 and 380.08

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Solution

The fourth proportional to 642.12, 886.10 and 380.08 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.12 : 886.10 = 380.08 : x
  2. Step 2: Convert to fraction form
    642.12/886.10 = 380.08/x
  3. Step 3: Cross multiply
    642.12x = 886.10 × 380.08
  4. Step 4: Simplify right side
    642.12x = 336,788.89
  5. Step 5: Solve for x
    x = 336,788.89/642.12
  6. Step 6: Final answer
    x = 524.50

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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.