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Finding the Fourth Proportional to 434.68, 599.29 and 355.92

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Solution

The fourth proportional to 434.68, 599.29 and 355.92 is: 490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.68 : 599.29 = 355.92 : x
  2. Step 2: Convert to fraction form
    434.68/599.29 = 355.92/x
  3. Step 3: Cross multiply
    434.68x = 599.29 × 355.92
  4. Step 4: Simplify right side
    434.68x = 213,299.30
  5. Step 5: Solve for x
    x = 213,299.30/434.68
  6. Step 6: Final answer
    x = 490.70

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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.