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Finding the Fourth Proportional to 261.44, 360.80 and 145

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Solution

The fourth proportional to 261.44, 360.80 and 145 is: 200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.44 : 360.80 = 145 : x
  2. Step 2: Convert to fraction form
    261.44/360.80 = 145/x
  3. Step 3: Cross multiply
    261.44x = 360.80 × 145
  4. Step 4: Simplify right side
    261.44x = 52,316
  5. Step 5: Solve for x
    x = 52,316/261.44
  6. Step 6: Final answer
    x = 200.11

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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.