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Finding the Fourth Proportional to 436.64, 654.92 and 176.70

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Solution

The fourth proportional to 436.64, 654.92 and 176.70 is: 265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.64 : 654.92 = 176.70 : x
  2. Step 2: Convert to fraction form
    436.64/654.92 = 176.70/x
  3. Step 3: Cross multiply
    436.64x = 654.92 × 176.70
  4. Step 4: Simplify right side
    436.64x = 115,724.36
  5. Step 5: Solve for x
    x = 115,724.36/436.64
  6. Step 6: Final answer
    x = 265.03

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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.