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Finding the Fourth Proportional to 310.83, 463.72 and 287.59

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Solution

The fourth proportional to 310.83, 463.72 and 287.59 is: 429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.83 : 463.72 = 287.59 : x
  2. Step 2: Convert to fraction form
    310.83/463.72 = 287.59/x
  3. Step 3: Cross multiply
    310.83x = 463.72 × 287.59
  4. Step 4: Simplify right side
    310.83x = 133,361.23
  5. Step 5: Solve for x
    x = 133,361.23/310.83
  6. Step 6: Final answer
    x = 429.05

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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.