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Finding the Fourth Proportional to 423.30, 633.12 and 340.68

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Solution

The fourth proportional to 423.30, 633.12 and 340.68 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 633.12 = 340.68 : x
  2. Step 2: Convert to fraction form
    423.30/633.12 = 340.68/x
  3. Step 3: Cross multiply
    423.30x = 633.12 × 340.68
  4. Step 4: Simplify right side
    423.30x = 215,691.32
  5. Step 5: Solve for x
    x = 215,691.32/423.30
  6. Step 6: Final answer
    x = 509.55

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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.