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Finding the Fourth Proportional to 264.13, 394.81 and 186.58

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Solution

The fourth proportional to 264.13, 394.81 and 186.58 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.13 : 394.81 = 186.58 : x
  2. Step 2: Convert to fraction form
    264.13/394.81 = 186.58/x
  3. Step 3: Cross multiply
    264.13x = 394.81 × 186.58
  4. Step 4: Simplify right side
    264.13x = 73,663.65
  5. Step 5: Solve for x
    x = 73,663.65/264.13
  6. Step 6: Final answer
    x = 278.89

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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.