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Finding the Fourth Proportional to 261.84, 360.76 and 261.84

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Solution

The fourth proportional to 261.84, 360.76 and 261.84 is: 360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 360.76 = 261.84 : x
  2. Step 2: Convert to fraction form
    261.84/360.76 = 261.84/x
  3. Step 3: Cross multiply
    261.84x = 360.76 × 261.84
  4. Step 4: Simplify right side
    261.84x = 94,461.40
  5. Step 5: Solve for x
    x = 94,461.40/261.84
  6. Step 6: Final answer
    x = 360.76

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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.