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Finding the Fourth Proportional to 403.60, 548.14 and 403.60

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Solution

The fourth proportional to 403.60, 548.14 and 403.60 is: 548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.60 : 548.14 = 403.60 : x
  2. Step 2: Convert to fraction form
    403.60/548.14 = 403.60/x
  3. Step 3: Cross multiply
    403.60x = 548.14 × 403.60
  4. Step 4: Simplify right side
    403.60x = 221,229.30
  5. Step 5: Solve for x
    x = 221,229.30/403.60
  6. Step 6: Final answer
    x = 548.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.