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Finding the Fourth Proportional to 156.33, 233.15 and 146.48

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Solution

The fourth proportional to 156.33, 233.15 and 146.48 is: 218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 233.15 = 146.48 : x
  2. Step 2: Convert to fraction form
    156.33/233.15 = 146.48/x
  3. Step 3: Cross multiply
    156.33x = 233.15 × 146.48
  4. Step 4: Simplify right side
    156.33x = 34,149.91
  5. Step 5: Solve for x
    x = 34,149.91/156.33
  6. Step 6: Final answer
    x = 218.45

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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.