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Finding the Fourth Proportional to 310.56, 465.12 and 214.08

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Solution

The fourth proportional to 310.56, 465.12 and 214.08 is: 320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 465.12 = 214.08 : x
  2. Step 2: Convert to fraction form
    310.56/465.12 = 214.08/x
  3. Step 3: Cross multiply
    310.56x = 465.12 × 214.08
  4. Step 4: Simplify right side
    310.56x = 99,572.89
  5. Step 5: Solve for x
    x = 99,572.89/310.56
  6. Step 6: Final answer
    x = 320.62

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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.