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Finding the Fourth Proportional to 310.10, 461.61 and 305.49

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Solution

The fourth proportional to 310.10, 461.61 and 305.49 is: 454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 461.61 = 305.49 : x
  2. Step 2: Convert to fraction form
    310.10/461.61 = 305.49/x
  3. Step 3: Cross multiply
    310.10x = 461.61 × 305.49
  4. Step 4: Simplify right side
    310.10x = 141,013.40
  5. Step 5: Solve for x
    x = 141,013.40/310.10
  6. Step 6: Final answer
    x = 454.74

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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.