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Finding the Fourth Proportional to 156.10, 233.01 and 144.82

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Solution

The fourth proportional to 156.10, 233.01 and 144.82 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.10 : 233.01 = 144.82 : x
  2. Step 2: Convert to fraction form
    156.10/233.01 = 144.82/x
  3. Step 3: Cross multiply
    156.10x = 233.01 × 144.82
  4. Step 4: Simplify right side
    156.10x = 33,744.51
  5. Step 5: Solve for x
    x = 33,744.51/156.10
  6. Step 6: Final answer
    x = 216.17

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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.