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Finding the Fourth Proportional to 261.04, 360.22 and 143.02

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Solution

The fourth proportional to 261.04, 360.22 and 143.02 is: 197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.04 : 360.22 = 143.02 : x
  2. Step 2: Convert to fraction form
    261.04/360.22 = 143.02/x
  3. Step 3: Cross multiply
    261.04x = 360.22 × 143.02
  4. Step 4: Simplify right side
    261.04x = 51,518.66
  5. Step 5: Solve for x
    x = 51,518.66/261.04
  6. Step 6: Final answer
    x = 197.36

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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.