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Finding the Fourth Proportional to 401.38, 553.62 and 307.07

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Solution

The fourth proportional to 401.38, 553.62 and 307.07 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.38 : 553.62 = 307.07 : x
  2. Step 2: Convert to fraction form
    401.38/553.62 = 307.07/x
  3. Step 3: Cross multiply
    401.38x = 553.62 × 307.07
  4. Step 4: Simplify right side
    401.38x = 169,997.17
  5. Step 5: Solve for x
    x = 169,997.17/401.38
  6. Step 6: Final answer
    x = 423.53

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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.