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Finding the Fourth Proportional to 156.33, 233.19 and 148.23

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Solution

The fourth proportional to 156.33, 233.19 and 148.23 is: 221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 233.19 = 148.23 : x
  2. Step 2: Convert to fraction form
    156.33/233.19 = 148.23/x
  3. Step 3: Cross multiply
    156.33x = 233.19 × 148.23
  4. Step 4: Simplify right side
    156.33x = 34,565.75
  5. Step 5: Solve for x
    x = 34,565.75/156.33
  6. Step 6: Final answer
    x = 221.11

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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.