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Finding the Fourth Proportional to 156.08, 216.24 and 152.32

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Solution

The fourth proportional to 156.08, 216.24 and 152.32 is: 211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.08 : 216.24 = 152.32 : x
  2. Step 2: Convert to fraction form
    156.08/216.24 = 152.32/x
  3. Step 3: Cross multiply
    156.08x = 216.24 × 152.32
  4. Step 4: Simplify right side
    156.08x = 32,937.68
  5. Step 5: Solve for x
    x = 32,937.68/156.08
  6. Step 6: Final answer
    x = 211.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.