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Finding the Fourth Proportional to 156.01, 233.85 and 59.75

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Solution

The fourth proportional to 156.01, 233.85 and 59.75 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.01 : 233.85 = 59.75 : x
  2. Step 2: Convert to fraction form
    156.01/233.85 = 59.75/x
  3. Step 3: Cross multiply
    156.01x = 233.85 × 59.75
  4. Step 4: Simplify right side
    156.01x = 13,972.54
  5. Step 5: Solve for x
    x = 13,972.54/156.01
  6. Step 6: Final answer
    x = 89.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.