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Finding the Fourth Proportional to 261.84, 361.40 and 178.98

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Solution

The fourth proportional to 261.84, 361.40 and 178.98 is: 247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 361.40 = 178.98 : x
  2. Step 2: Convert to fraction form
    261.84/361.40 = 178.98/x
  3. Step 3: Cross multiply
    261.84x = 361.40 × 178.98
  4. Step 4: Simplify right side
    261.84x = 64,683.37
  5. Step 5: Solve for x
    x = 64,683.37/261.84
  6. Step 6: Final answer
    x = 247.03

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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.