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Finding the Fourth Proportional to 420.48, 631.24 and 238.02

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Solution

The fourth proportional to 420.48, 631.24 and 238.02 is: 357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 631.24 = 238.02 : x
  2. Step 2: Convert to fraction form
    420.48/631.24 = 238.02/x
  3. Step 3: Cross multiply
    420.48x = 631.24 × 238.02
  4. Step 4: Simplify right side
    420.48x = 150,247.74
  5. Step 5: Solve for x
    x = 150,247.74/420.48
  6. Step 6: Final answer
    x = 357.32

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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.