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Finding the Fourth Proportional to 156.55, 233.66 and 146.38

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Solution

The fourth proportional to 156.55, 233.66 and 146.38 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.55 : 233.66 = 146.38 : x
  2. Step 2: Convert to fraction form
    156.55/233.66 = 146.38/x
  3. Step 3: Cross multiply
    156.55x = 233.66 × 146.38
  4. Step 4: Simplify right side
    156.55x = 34,203.15
  5. Step 5: Solve for x
    x = 34,203.15/156.55
  6. Step 6: Final answer
    x = 218.48

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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.