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Finding the Fourth Proportional to 469.60, 701.68 and 338.98

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Solution

The fourth proportional to 469.60, 701.68 and 338.98 is: 506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.60 : 701.68 = 338.98 : x
  2. Step 2: Convert to fraction form
    469.60/701.68 = 338.98/x
  3. Step 3: Cross multiply
    469.60x = 701.68 × 338.98
  4. Step 4: Simplify right side
    469.60x = 237,855.49
  5. Step 5: Solve for x
    x = 237,855.49/469.60
  6. Step 6: Final answer
    x = 506.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.