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Finding the Fourth Proportional to 310.34, 462.49 and 300.95

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Solution

The fourth proportional to 310.34, 462.49 and 300.95 is: 448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.34 : 462.49 = 300.95 : x
  2. Step 2: Convert to fraction form
    310.34/462.49 = 300.95/x
  3. Step 3: Cross multiply
    310.34x = 462.49 × 300.95
  4. Step 4: Simplify right side
    310.34x = 139,186.02
  5. Step 5: Solve for x
    x = 139,186.02/310.34
  6. Step 6: Final answer
    x = 448.50

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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.