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Finding the Fourth Proportional to 420.56, 630.04 and 237.40

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Solution

The fourth proportional to 420.56, 630.04 and 237.40 is: 355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.56 : 630.04 = 237.40 : x
  2. Step 2: Convert to fraction form
    420.56/630.04 = 237.40/x
  3. Step 3: Cross multiply
    420.56x = 630.04 × 237.40
  4. Step 4: Simplify right side
    420.56x = 149,571.50
  5. Step 5: Solve for x
    x = 149,571.50/420.56
  6. Step 6: Final answer
    x = 355.65

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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.