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Finding the Fourth Proportional to 468.75, 646.90 and 311.11

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Solution

The fourth proportional to 468.75, 646.90 and 311.11 is: 429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 646.90 = 311.11 : x
  2. Step 2: Convert to fraction form
    468.75/646.90 = 311.11/x
  3. Step 3: Cross multiply
    468.75x = 646.90 × 311.11
  4. Step 4: Simplify right side
    468.75x = 201,257.06
  5. Step 5: Solve for x
    x = 201,257.06/468.75
  6. Step 6: Final answer
    x = 429.35

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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.