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Finding the Fourth Proportional to 289.04, 401.64 and 286.08

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Solution

The fourth proportional to 289.04, 401.64 and 286.08 is: 397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 401.64 = 286.08 : x
  2. Step 2: Convert to fraction form
    289.04/401.64 = 286.08/x
  3. Step 3: Cross multiply
    289.04x = 401.64 × 286.08
  4. Step 4: Simplify right side
    289.04x = 114,901.17
  5. Step 5: Solve for x
    x = 114,901.17/289.04
  6. Step 6: Final answer
    x = 397.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.