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Finding the Fourth Proportional to 452.24, 677.90 and 208.62

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Solution

The fourth proportional to 452.24, 677.90 and 208.62 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.24 : 677.90 = 208.62 : x
  2. Step 2: Convert to fraction form
    452.24/677.90 = 208.62/x
  3. Step 3: Cross multiply
    452.24x = 677.90 × 208.62
  4. Step 4: Simplify right side
    452.24x = 141,423.50
  5. Step 5: Solve for x
    x = 141,423.50/452.24
  6. Step 6: Final answer
    x = 312.72

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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.