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Finding the Fourth Proportional to 158.64, 218 and 130.96

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Solution

The fourth proportional to 158.64, 218 and 130.96 is: 179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 218 = 130.96 : x
  2. Step 2: Convert to fraction form
    158.64/218 = 130.96/x
  3. Step 3: Cross multiply
    158.64x = 218 × 130.96
  4. Step 4: Simplify right side
    158.64x = 28,549.28
  5. Step 5: Solve for x
    x = 28,549.28/158.64
  6. Step 6: Final answer
    x = 179.96

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.