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Finding the Fourth Proportional to 156.32, 235.48 and 128.16

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Solution

The fourth proportional to 156.32, 235.48 and 128.16 is: 193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.32 : 235.48 = 128.16 : x
  2. Step 2: Convert to fraction form
    156.32/235.48 = 128.16/x
  3. Step 3: Cross multiply
    156.32x = 235.48 × 128.16
  4. Step 4: Simplify right side
    156.32x = 30,179.12
  5. Step 5: Solve for x
    x = 30,179.12/156.32
  6. Step 6: Final answer
    x = 193.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.