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Finding the Fourth Proportional to 420.62, 580.45 and 243.58

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Solution

The fourth proportional to 420.62, 580.45 and 243.58 is: 336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.62 : 580.45 = 243.58 : x
  2. Step 2: Convert to fraction form
    420.62/580.45 = 243.58/x
  3. Step 3: Cross multiply
    420.62x = 580.45 × 243.58
  4. Step 4: Simplify right side
    420.62x = 141,386.01
  5. Step 5: Solve for x
    x = 141,386.01/420.62
  6. Step 6: Final answer
    x = 336.14

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Why These Related Problems?

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