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Finding the Fourth Proportional to 158.64, 234.72 and 158.16

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Solution

The fourth proportional to 158.64, 234.72 and 158.16 is: 234.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 234.72 = 158.16 : x
  2. Step 2: Convert to fraction form
    158.64/234.72 = 158.16/x
  3. Step 3: Cross multiply
    158.64x = 234.72 × 158.16
  4. Step 4: Simplify right side
    158.64x = 37,123.32
  5. Step 5: Solve for x
    x = 37,123.32/158.64
  6. Step 6: Final answer
    x = 234.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.