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Finding the Fourth Proportional to 261.46, 359.32 and 214.75

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Solution

The fourth proportional to 261.46, 359.32 and 214.75 is: 295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 359.32 = 214.75 : x
  2. Step 2: Convert to fraction form
    261.46/359.32 = 214.75/x
  3. Step 3: Cross multiply
    261.46x = 359.32 × 214.75
  4. Step 4: Simplify right side
    261.46x = 77,161.10
  5. Step 5: Solve for x
    x = 77,161.10/261.46
  6. Step 6: Final answer
    x = 295.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.