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Finding the Fourth Proportional to 310.10, 465.08 and 212.58

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Solution

The fourth proportional to 310.10, 465.08 and 212.58 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.10 : 465.08 = 212.58 : x
  2. Step 2: Convert to fraction form
    310.10/465.08 = 212.58/x
  3. Step 3: Cross multiply
    310.10x = 465.08 × 212.58
  4. Step 4: Simplify right side
    310.10x = 98,865.64
  5. Step 5: Solve for x
    x = 98,865.64/310.10
  6. Step 6: Final answer
    x = 318.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.