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Finding the Fourth Proportional to 420.24, 630.66 and 266.28

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Solution

The fourth proportional to 420.24, 630.66 and 266.28 is: 399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.24 : 630.66 = 266.28 : x
  2. Step 2: Convert to fraction form
    420.24/630.66 = 266.28/x
  3. Step 3: Cross multiply
    420.24x = 630.66 × 266.28
  4. Step 4: Simplify right side
    420.24x = 167,932.14
  5. Step 5: Solve for x
    x = 167,932.14/420.24
  6. Step 6: Final answer
    x = 399.61

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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.