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Finding the Fourth Proportional to 470.84, 650.06 and 305.32

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Solution

The fourth proportional to 470.84, 650.06 and 305.32 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 650.06 = 305.32 : x
  2. Step 2: Convert to fraction form
    470.84/650.06 = 305.32/x
  3. Step 3: Cross multiply
    470.84x = 650.06 × 305.32
  4. Step 4: Simplify right side
    470.84x = 198,476.32
  5. Step 5: Solve for x
    x = 198,476.32/470.84
  6. Step 6: Final answer
    x = 421.54

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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.