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Finding the Fourth Proportional to 156.42, 233.33 and 147.11

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Solution

The fourth proportional to 156.42, 233.33 and 147.11 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 233.33 = 147.11 : x
  2. Step 2: Convert to fraction form
    156.42/233.33 = 147.11/x
  3. Step 3: Cross multiply
    156.42x = 233.33 × 147.11
  4. Step 4: Simplify right side
    156.42x = 34,323.27
  5. Step 5: Solve for x
    x = 34,323.27/156.42
  6. Step 6: Final answer
    x = 219.43

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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.