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Finding the Fourth Proportional to 434.47, 599.70 and 268.63

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Solution

The fourth proportional to 434.47, 599.70 and 268.63 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.47 : 599.70 = 268.63 : x
  2. Step 2: Convert to fraction form
    434.47/599.70 = 268.63/x
  3. Step 3: Cross multiply
    434.47x = 599.70 × 268.63
  4. Step 4: Simplify right side
    434.47x = 161,097.41
  5. Step 5: Solve for x
    x = 161,097.41/434.47
  6. Step 6: Final answer
    x = 370.79

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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.