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Finding the Fourth Proportional to 261.48, 361.04 and 220.16

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Solution

The fourth proportional to 261.48, 361.04 and 220.16 is: 303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 361.04 = 220.16 : x
  2. Step 2: Convert to fraction form
    261.48/361.04 = 220.16/x
  3. Step 3: Cross multiply
    261.48x = 361.04 × 220.16
  4. Step 4: Simplify right side
    261.48x = 79,486.57
  5. Step 5: Solve for x
    x = 79,486.57/261.48
  6. Step 6: Final answer
    x = 303.99

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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.