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Finding the Fourth Proportional to 434.89, 649.38 and 342.55

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Solution

The fourth proportional to 434.89, 649.38 and 342.55 is: 511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.89 : 649.38 = 342.55 : x
  2. Step 2: Convert to fraction form
    434.89/649.38 = 342.55/x
  3. Step 3: Cross multiply
    434.89x = 649.38 × 342.55
  4. Step 4: Simplify right side
    434.89x = 222,445.12
  5. Step 5: Solve for x
    x = 222,445.12/434.89
  6. Step 6: Final answer
    x = 511.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.