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Finding the Fourth Proportional to 261.04, 359.88 and 219.76

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Solution

The fourth proportional to 261.04, 359.88 and 219.76 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 359.88 = 219.76 : x
  2. Step 2: Convert to fraction form
    261.04/359.88 = 219.76/x
  3. Step 3: Cross multiply
    261.04x = 359.88 × 219.76
  4. Step 4: Simplify right side
    261.04x = 79,087.23
  5. Step 5: Solve for x
    x = 79,087.23/261.04
  6. Step 6: Final answer
    x = 302.97

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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.