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Finding the Fourth Proportional to 334.77, 461.65 and 288.30

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Solution

The fourth proportional to 334.77, 461.65 and 288.30 is: 397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.77 : 461.65 = 288.30 : x
  2. Step 2: Convert to fraction form
    334.77/461.65 = 288.30/x
  3. Step 3: Cross multiply
    334.77x = 461.65 × 288.30
  4. Step 4: Simplify right side
    334.77x = 133,093.70
  5. Step 5: Solve for x
    x = 133,093.70/334.77
  6. Step 6: Final answer
    x = 397.57

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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.