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Finding the Fourth Proportional to 462.90, 694.55 and 202.95

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Solution

The fourth proportional to 462.90, 694.55 and 202.95 is: 304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.90 : 694.55 = 202.95 : x
  2. Step 2: Convert to fraction form
    462.90/694.55 = 202.95/x
  3. Step 3: Cross multiply
    462.90x = 694.55 × 202.95
  4. Step 4: Simplify right side
    462.90x = 140,957.91
  5. Step 5: Solve for x
    x = 140,957.91/462.90
  6. Step 6: Final answer
    x = 304.51

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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.