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Finding the Fourth Proportional to 452.04, 677.14 and 208.23

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Solution

The fourth proportional to 452.04, 677.14 and 208.23 is: 311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.04 : 677.14 = 208.23 : x
  2. Step 2: Convert to fraction form
    452.04/677.14 = 208.23/x
  3. Step 3: Cross multiply
    452.04x = 677.14 × 208.23
  4. Step 4: Simplify right side
    452.04x = 141,000.86
  5. Step 5: Solve for x
    x = 141,000.86/452.04
  6. Step 6: Final answer
    x = 311.92

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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.