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Finding the Fourth Proportional to 315.70, 433.63 and 279.70

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Solution

The fourth proportional to 315.70, 433.63 and 279.70 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 433.63 = 279.70 : x
  2. Step 2: Convert to fraction form
    315.70/433.63 = 279.70/x
  3. Step 3: Cross multiply
    315.70x = 433.63 × 279.70
  4. Step 4: Simplify right side
    315.70x = 121,286.31
  5. Step 5: Solve for x
    x = 121,286.31/315.70
  6. Step 6: Final answer
    x = 384.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.