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Finding the Fourth Proportional to 259.64, 358.24 and 156.12

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Solution

The fourth proportional to 259.64, 358.24 and 156.12 is: 215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 358.24 = 156.12 : x
  2. Step 2: Convert to fraction form
    259.64/358.24 = 156.12/x
  3. Step 3: Cross multiply
    259.64x = 358.24 × 156.12
  4. Step 4: Simplify right side
    259.64x = 55,928.43
  5. Step 5: Solve for x
    x = 55,928.43/259.64
  6. Step 6: Final answer
    x = 215.41

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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.