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Finding the Fourth Proportional to 403.48, 557.12 and 310.08

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Solution

The fourth proportional to 403.48, 557.12 and 310.08 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.48 : 557.12 = 310.08 : x
  2. Step 2: Convert to fraction form
    403.48/557.12 = 310.08/x
  3. Step 3: Cross multiply
    403.48x = 557.12 × 310.08
  4. Step 4: Simplify right side
    403.48x = 172,747.43
  5. Step 5: Solve for x
    x = 172,747.43/403.48
  6. Step 6: Final answer
    x = 428.14

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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.