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Finding the Fourth Proportional to 420.16, 630.64 and 227.92

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Solution

The fourth proportional to 420.16, 630.64 and 227.92 is: 342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.16 : 630.64 = 227.92 : x
  2. Step 2: Convert to fraction form
    420.16/630.64 = 227.92/x
  3. Step 3: Cross multiply
    420.16x = 630.64 × 227.92
  4. Step 4: Simplify right side
    420.16x = 143,735.47
  5. Step 5: Solve for x
    x = 143,735.47/420.16
  6. Step 6: Final answer
    x = 342.10

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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.