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Finding the Fourth Proportional to 310.08, 466.86 and 214.50

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Solution

The fourth proportional to 310.08, 466.86 and 214.50 is: 322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.08 : 466.86 = 214.50 : x
  2. Step 2: Convert to fraction form
    310.08/466.86 = 214.50/x
  3. Step 3: Cross multiply
    310.08x = 466.86 × 214.50
  4. Step 4: Simplify right side
    310.08x = 100,141.47
  5. Step 5: Solve for x
    x = 100,141.47/310.08
  6. Step 6: Final answer
    x = 322.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.