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Finding the Fourth Proportional to 275.74, 412.66 and 207.10

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Solution

The fourth proportional to 275.74, 412.66 and 207.10 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.74 : 412.66 = 207.10 : x
  2. Step 2: Convert to fraction form
    275.74/412.66 = 207.10/x
  3. Step 3: Cross multiply
    275.74x = 412.66 × 207.10
  4. Step 4: Simplify right side
    275.74x = 85,461.89
  5. Step 5: Solve for x
    x = 85,461.89/275.74
  6. Step 6: Final answer
    x = 309.94

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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.