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Finding the Fourth Proportional to 261.57, 361.10 and 202.43

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Solution

The fourth proportional to 261.57, 361.10 and 202.43 is: 279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.57 : 361.10 = 202.43 : x
  2. Step 2: Convert to fraction form
    261.57/361.10 = 202.43/x
  3. Step 3: Cross multiply
    261.57x = 361.10 × 202.43
  4. Step 4: Simplify right side
    261.57x = 73,095.67
  5. Step 5: Solve for x
    x = 73,095.67/261.57
  6. Step 6: Final answer
    x = 279.45

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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.