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Finding the Fourth Proportional to 403.10, 557.02 and 389.42

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Solution

The fourth proportional to 403.10, 557.02 and 389.42 is: 538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.10 : 557.02 = 389.42 : x
  2. Step 2: Convert to fraction form
    403.10/557.02 = 389.42/x
  3. Step 3: Cross multiply
    403.10x = 557.02 × 389.42
  4. Step 4: Simplify right side
    403.10x = 216,914.73
  5. Step 5: Solve for x
    x = 216,914.73/403.10
  6. Step 6: Final answer
    x = 538.12

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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.