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Finding the Fourth Proportional to 468.70, 646.14 and 321.10

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Solution

The fourth proportional to 468.70, 646.14 and 321.10 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 646.14 = 321.10 : x
  2. Step 2: Convert to fraction form
    468.70/646.14 = 321.10/x
  3. Step 3: Cross multiply
    468.70x = 646.14 × 321.10
  4. Step 4: Simplify right side
    468.70x = 207,475.55
  5. Step 5: Solve for x
    x = 207,475.55/468.70
  6. Step 6: Final answer
    x = 442.66

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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.