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Finding the Fourth Proportional to 156.48, 233.38 and 142.81

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Solution

The fourth proportional to 156.48, 233.38 and 142.81 is: 213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.48 : 233.38 = 142.81 : x
  2. Step 2: Convert to fraction form
    156.48/233.38 = 142.81/x
  3. Step 3: Cross multiply
    156.48x = 233.38 × 142.81
  4. Step 4: Simplify right side
    156.48x = 33,329.91
  5. Step 5: Solve for x
    x = 33,329.91/156.48
  6. Step 6: Final answer
    x = 213.00

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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.