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Finding the Fourth Proportional to 495.07, 742.65 and 166.00

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Solution

The fourth proportional to 495.07, 742.65 and 166.00 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.07 : 742.65 = 166.00 : x
  2. Step 2: Convert to fraction form
    495.07/742.65 = 166.00/x
  3. Step 3: Cross multiply
    495.07x = 742.65 × 166.00
  4. Step 4: Simplify right side
    495.07x = 123,275.36
  5. Step 5: Solve for x
    x = 123,275.36/495.07
  6. Step 6: Final answer
    x = 249.01

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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.