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Finding the Fourth Proportional to 265.84, 397.12 and 192.08

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Solution

The fourth proportional to 265.84, 397.12 and 192.08 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.84 : 397.12 = 192.08 : x
  2. Step 2: Convert to fraction form
    265.84/397.12 = 192.08/x
  3. Step 3: Cross multiply
    265.84x = 397.12 × 192.08
  4. Step 4: Simplify right side
    265.84x = 76,278.81
  5. Step 5: Solve for x
    x = 76,278.81/265.84
  6. Step 6: Final answer
    x = 286.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.