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Finding the Fourth Proportional to 261.62, 392.19 and 107.45

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Solution

The fourth proportional to 261.62, 392.19 and 107.45 is: 161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.62 : 392.19 = 107.45 : x
  2. Step 2: Convert to fraction form
    261.62/392.19 = 107.45/x
  3. Step 3: Cross multiply
    261.62x = 392.19 × 107.45
  4. Step 4: Simplify right side
    261.62x = 42,140.82
  5. Step 5: Solve for x
    x = 42,140.82/261.62
  6. Step 6: Final answer
    x = 161.08

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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.