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Finding the Fourth Proportional to 421.48, 633.66 and 340.90

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Solution

The fourth proportional to 421.48, 633.66 and 340.90 is: 512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.48 : 633.66 = 340.90 : x
  2. Step 2: Convert to fraction form
    421.48/633.66 = 340.90/x
  3. Step 3: Cross multiply
    421.48x = 633.66 × 340.90
  4. Step 4: Simplify right side
    421.48x = 216,014.69
  5. Step 5: Solve for x
    x = 216,014.69/421.48
  6. Step 6: Final answer
    x = 512.51

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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.