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Finding the Fourth Proportional to 263.13, 393.32 and 185.58

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Solution

The fourth proportional to 263.13, 393.32 and 185.58 is: 277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.13 : 393.32 = 185.58 : x
  2. Step 2: Convert to fraction form
    263.13/393.32 = 185.58/x
  3. Step 3: Cross multiply
    263.13x = 393.32 × 185.58
  4. Step 4: Simplify right side
    263.13x = 72,991.40
  5. Step 5: Solve for x
    x = 72,991.40/263.13
  6. Step 6: Final answer
    x = 277.40

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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.