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Finding the Fourth Proportional to 310.84, 463.73 and 259.81

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Solution

The fourth proportional to 310.84, 463.73 and 259.81 is: 387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.84 : 463.73 = 259.81 : x
  2. Step 2: Convert to fraction form
    310.84/463.73 = 259.81/x
  3. Step 3: Cross multiply
    310.84x = 463.73 × 259.81
  4. Step 4: Simplify right side
    310.84x = 120,479.23
  5. Step 5: Solve for x
    x = 120,479.23/310.84
  6. Step 6: Final answer
    x = 387.60

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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.