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Finding the Fourth Proportional to 434.56, 651.92 and 218.08

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Solution

The fourth proportional to 434.56, 651.92 and 218.08 is: 327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 651.92 = 218.08 : x
  2. Step 2: Convert to fraction form
    434.56/651.92 = 218.08/x
  3. Step 3: Cross multiply
    434.56x = 651.92 × 218.08
  4. Step 4: Simplify right side
    434.56x = 142,170.71
  5. Step 5: Solve for x
    x = 142,170.71/434.56
  6. Step 6: Final answer
    x = 327.16

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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.