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Finding the Fourth Proportional to 420.20, 630.20 and 237.50

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Solution

The fourth proportional to 420.20, 630.20 and 237.50 is: 356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.20 : 630.20 = 237.50 : x
  2. Step 2: Convert to fraction form
    420.20/630.20 = 237.50/x
  3. Step 3: Cross multiply
    420.20x = 630.20 × 237.50
  4. Step 4: Simplify right side
    420.20x = 149,672.50
  5. Step 5: Solve for x
    x = 149,672.50/420.20
  6. Step 6: Final answer
    x = 356.19

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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.