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Finding the Fourth Proportional to 307.60, 423.80 and 214.18

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Solution

The fourth proportional to 307.60, 423.80 and 214.18 is: 295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.60 : 423.80 = 214.18 : x
  2. Step 2: Convert to fraction form
    307.60/423.80 = 214.18/x
  3. Step 3: Cross multiply
    307.60x = 423.80 × 214.18
  4. Step 4: Simplify right side
    307.60x = 90,768.16
  5. Step 5: Solve for x
    x = 90,768.16/307.60
  6. Step 6: Final answer
    x = 295.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.