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Finding the Fourth Proportional to 424.42, 635.55 and 316.42

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Solution

The fourth proportional to 424.42, 635.55 and 316.42 is: 473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 635.55 = 316.42 : x
  2. Step 2: Convert to fraction form
    424.42/635.55 = 316.42/x
  3. Step 3: Cross multiply
    424.42x = 635.55 × 316.42
  4. Step 4: Simplify right side
    424.42x = 201,100.73
  5. Step 5: Solve for x
    x = 201,100.73/424.42
  6. Step 6: Final answer
    x = 473.82

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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.