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Finding the Fourth Proportional to 495.05, 741.89 and 186.60

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Solution

The fourth proportional to 495.05, 741.89 and 186.60 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.05 : 741.89 = 186.60 : x
  2. Step 2: Convert to fraction form
    495.05/741.89 = 186.60/x
  3. Step 3: Cross multiply
    495.05x = 741.89 × 186.60
  4. Step 4: Simplify right side
    495.05x = 138,437.14
  5. Step 5: Solve for x
    x = 138,437.14/495.05
  6. Step 6: Final answer
    x = 279.64

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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.