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Finding the Fourth Proportional to 97.80, 134.64 and 92.40

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Solution

The fourth proportional to 97.80, 134.64 and 92.40 is: 127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 134.64 = 92.40 : x
  2. Step 2: Convert to fraction form
    97.80/134.64 = 92.40/x
  3. Step 3: Cross multiply
    97.80x = 134.64 × 92.40
  4. Step 4: Simplify right side
    97.80x = 12,440.74
  5. Step 5: Solve for x
    x = 12,440.74/97.80
  6. Step 6: Final answer
    x = 127.21

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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.