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Finding the Fourth Proportional to 420.02, 632.25 and 299.12

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Solution

The fourth proportional to 420.02, 632.25 and 299.12 is: 450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.02 : 632.25 = 299.12 : x
  2. Step 2: Convert to fraction form
    420.02/632.25 = 299.12/x
  3. Step 3: Cross multiply
    420.02x = 632.25 × 299.12
  4. Step 4: Simplify right side
    420.02x = 189,115.46
  5. Step 5: Solve for x
    x = 189,115.46/420.02
  6. Step 6: Final answer
    x = 450.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.