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Finding the Fourth Proportional to 483.02, 666.32 and 305.68

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Solution

The fourth proportional to 483.02, 666.32 and 305.68 is: 421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.02 : 666.32 = 305.68 : x
  2. Step 2: Convert to fraction form
    483.02/666.32 = 305.68/x
  3. Step 3: Cross multiply
    483.02x = 666.32 × 305.68
  4. Step 4: Simplify right side
    483.02x = 203,683.13
  5. Step 5: Solve for x
    x = 203,683.13/483.02
  6. Step 6: Final answer
    x = 421.69

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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.