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Finding the Fourth Proportional to 261.50, 392.45 and 107.46

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Solution

The fourth proportional to 261.50, 392.45 and 107.46 is: 161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.50 : 392.45 = 107.46 : x
  2. Step 2: Convert to fraction form
    261.50/392.45 = 107.46/x
  3. Step 3: Cross multiply
    261.50x = 392.45 × 107.46
  4. Step 4: Simplify right side
    261.50x = 42,172.14
  5. Step 5: Solve for x
    x = 42,172.14/261.50
  6. Step 6: Final answer
    x = 161.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.