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Finding the Fourth Proportional to 452.55, 678.10 and 279.35

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Solution

The fourth proportional to 452.55, 678.10 and 279.35 is: 418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.55 : 678.10 = 279.35 : x
  2. Step 2: Convert to fraction form
    452.55/678.10 = 279.35/x
  3. Step 3: Cross multiply
    452.55x = 678.10 × 279.35
  4. Step 4: Simplify right side
    452.55x = 189,427.24
  5. Step 5: Solve for x
    x = 189,427.24/452.55
  6. Step 6: Final answer
    x = 418.58

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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.