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Finding the Fourth Proportional to 275.35, 412.72 and 242.88

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Solution

The fourth proportional to 275.35, 412.72 and 242.88 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.35 : 412.72 = 242.88 : x
  2. Step 2: Convert to fraction form
    275.35/412.72 = 242.88/x
  3. Step 3: Cross multiply
    275.35x = 412.72 × 242.88
  4. Step 4: Simplify right side
    275.35x = 100,240.83
  5. Step 5: Solve for x
    x = 100,240.83/275.35
  6. Step 6: Final answer
    x = 364.05

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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.