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Finding the Fourth Proportional to 434.39, 599.65 and 286.76

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Solution

The fourth proportional to 434.39, 599.65 and 286.76 is: 395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.39 : 599.65 = 286.76 : x
  2. Step 2: Convert to fraction form
    434.39/599.65 = 286.76/x
  3. Step 3: Cross multiply
    434.39x = 599.65 × 286.76
  4. Step 4: Simplify right side
    434.39x = 171,956.42
  5. Step 5: Solve for x
    x = 171,956.42/434.39
  6. Step 6: Final answer
    x = 395.86

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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.