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Finding the Fourth Proportional to 420.54, 580.19 and 263.06

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Solution

The fourth proportional to 420.54, 580.19 and 263.06 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.54 : 580.19 = 263.06 : x
  2. Step 2: Convert to fraction form
    420.54/580.19 = 263.06/x
  3. Step 3: Cross multiply
    420.54x = 580.19 × 263.06
  4. Step 4: Simplify right side
    420.54x = 152,624.78
  5. Step 5: Solve for x
    x = 152,624.78/420.54
  6. Step 6: Final answer
    x = 362.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.