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Finding the Fourth Proportional to 261.68, 392.36 and 189.60

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Solution

The fourth proportional to 261.68, 392.36 and 189.60 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 392.36 = 189.60 : x
  2. Step 2: Convert to fraction form
    261.68/392.36 = 189.60/x
  3. Step 3: Cross multiply
    261.68x = 392.36 × 189.60
  4. Step 4: Simplify right side
    261.68x = 74,391.46
  5. Step 5: Solve for x
    x = 74,391.46/261.68
  6. Step 6: Final answer
    x = 284.28

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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.