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Finding the Fourth Proportional to 156.28, 232.29 and 153.40

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Solution

The fourth proportional to 156.28, 232.29 and 153.40 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.28 : 232.29 = 153.40 : x
  2. Step 2: Convert to fraction form
    156.28/232.29 = 153.40/x
  3. Step 3: Cross multiply
    156.28x = 232.29 × 153.40
  4. Step 4: Simplify right side
    156.28x = 35,633.29
  5. Step 5: Solve for x
    x = 35,633.29/156.28
  6. Step 6: Final answer
    x = 228.01

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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.