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Finding the Fourth Proportional to 420.90, 631.56 and 360.96

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Solution

The fourth proportional to 420.90, 631.56 and 360.96 is: 541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.90 : 631.56 = 360.96 : x
  2. Step 2: Convert to fraction form
    420.90/631.56 = 360.96/x
  3. Step 3: Cross multiply
    420.90x = 631.56 × 360.96
  4. Step 4: Simplify right side
    420.90x = 227,967.90
  5. Step 5: Solve for x
    x = 227,967.90/420.90
  6. Step 6: Final answer
    x = 541.62

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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.