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Finding the Fourth Proportional to 461.56, 691.36 and 288.30

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Solution

The fourth proportional to 461.56, 691.36 and 288.30 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 691.36 = 288.30 : x
  2. Step 2: Convert to fraction form
    461.56/691.36 = 288.30/x
  3. Step 3: Cross multiply
    461.56x = 691.36 × 288.30
  4. Step 4: Simplify right side
    461.56x = 199,319.09
  5. Step 5: Solve for x
    x = 199,319.09/461.56
  6. Step 6: Final answer
    x = 431.84

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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.