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Finding the Fourth Proportional to 469.51, 704.46 and 180.88

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Solution

The fourth proportional to 469.51, 704.46 and 180.88 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.51 : 704.46 = 180.88 : x
  2. Step 2: Convert to fraction form
    469.51/704.46 = 180.88/x
  3. Step 3: Cross multiply
    469.51x = 704.46 × 180.88
  4. Step 4: Simplify right side
    469.51x = 127,422.72
  5. Step 5: Solve for x
    x = 127,422.72/469.51
  6. Step 6: Final answer
    x = 271.40

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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.