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Finding the Fourth Proportional to 469.02, 646.22 and 337.80

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Solution

The fourth proportional to 469.02, 646.22 and 337.80 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.02 : 646.22 = 337.80 : x
  2. Step 2: Convert to fraction form
    469.02/646.22 = 337.80/x
  3. Step 3: Cross multiply
    469.02x = 646.22 × 337.80
  4. Step 4: Simplify right side
    469.02x = 218,293.12
  5. Step 5: Solve for x
    x = 218,293.12/469.02
  6. Step 6: Final answer
    x = 465.42

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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.