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Finding the Fourth Proportional to 270.06, 402.98 and 214.60

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Solution

The fourth proportional to 270.06, 402.98 and 214.60 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.06 : 402.98 = 214.60 : x
  2. Step 2: Convert to fraction form
    270.06/402.98 = 214.60/x
  3. Step 3: Cross multiply
    270.06x = 402.98 × 214.60
  4. Step 4: Simplify right side
    270.06x = 86,479.51
  5. Step 5: Solve for x
    x = 86,479.51/270.06
  6. Step 6: Final answer
    x = 320.22

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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.