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Finding the Fourth Proportional to 156.12, 232.85 and 146.32

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Solution

The fourth proportional to 156.12, 232.85 and 146.32 is: 218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.12 : 232.85 = 146.32 : x
  2. Step 2: Convert to fraction form
    156.12/232.85 = 146.32/x
  3. Step 3: Cross multiply
    156.12x = 232.85 × 146.32
  4. Step 4: Simplify right side
    156.12x = 34,070.61
  5. Step 5: Solve for x
    x = 34,070.61/156.12
  6. Step 6: Final answer
    x = 218.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.