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Finding the Fourth Proportional to 452.05, 678.15 and 143.88

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Solution

The fourth proportional to 452.05, 678.15 and 143.88 is: 215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.05 : 678.15 = 143.88 : x
  2. Step 2: Convert to fraction form
    452.05/678.15 = 143.88/x
  3. Step 3: Cross multiply
    452.05x = 678.15 × 143.88
  4. Step 4: Simplify right side
    452.05x = 97,569.68
  5. Step 5: Solve for x
    x = 97,569.68/452.05
  6. Step 6: Final answer
    x = 215.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.