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Finding the Fourth Proportional to 310.66, 426.59 and 277.90

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Solution

The fourth proportional to 310.66, 426.59 and 277.90 is: 381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.66 : 426.59 = 277.90 : x
  2. Step 2: Convert to fraction form
    310.66/426.59 = 277.90/x
  3. Step 3: Cross multiply
    310.66x = 426.59 × 277.90
  4. Step 4: Simplify right side
    310.66x = 118,545.84
  5. Step 5: Solve for x
    x = 118,545.84/310.66
  6. Step 6: Final answer
    x = 381.60

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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.