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Finding the Fourth Proportional to 461.02, 691.62 and 296.66

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Solution

The fourth proportional to 461.02, 691.62 and 296.66 is: 445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.02 : 691.62 = 296.66 : x
  2. Step 2: Convert to fraction form
    461.02/691.62 = 296.66/x
  3. Step 3: Cross multiply
    461.02x = 691.62 × 296.66
  4. Step 4: Simplify right side
    461.02x = 205,175.99
  5. Step 5: Solve for x
    x = 205,175.99/461.02
  6. Step 6: Final answer
    x = 445.05

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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.