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Finding the Fourth Proportional to 469.46, 646.98 and 338.24

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Solution

The fourth proportional to 469.46, 646.98 and 338.24 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.46 : 646.98 = 338.24 : x
  2. Step 2: Convert to fraction form
    469.46/646.98 = 338.24/x
  3. Step 3: Cross multiply
    469.46x = 646.98 × 338.24
  4. Step 4: Simplify right side
    469.46x = 218,834.52
  5. Step 5: Solve for x
    x = 218,834.52/469.46
  6. Step 6: Final answer
    x = 466.14

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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.