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Finding the Fourth Proportional to 289.39, 435.65 and 264.28

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Solution

The fourth proportional to 289.39, 435.65 and 264.28 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.39 : 435.65 = 264.28 : x
  2. Step 2: Convert to fraction form
    289.39/435.65 = 264.28/x
  3. Step 3: Cross multiply
    289.39x = 435.65 × 264.28
  4. Step 4: Simplify right side
    289.39x = 115,132.92
  5. Step 5: Solve for x
    x = 115,132.92/289.39
  6. Step 6: Final answer
    x = 397.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.