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Finding the Fourth Proportional to 401.49, 601.65 and 286.17

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Solution

The fourth proportional to 401.49, 601.65 and 286.17 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.49 : 601.65 = 286.17 : x
  2. Step 2: Convert to fraction form
    401.49/601.65 = 286.17/x
  3. Step 3: Cross multiply
    401.49x = 601.65 × 286.17
  4. Step 4: Simplify right side
    401.49x = 172,174.18
  5. Step 5: Solve for x
    x = 172,174.18/401.49
  6. Step 6: Final answer
    x = 428.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.