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Finding the Fourth Proportional to 160.00, 239.90 and 51.79

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Solution

The fourth proportional to 160.00, 239.90 and 51.79 is: 77.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.00 : 239.90 = 51.79 : x
  2. Step 2: Convert to fraction form
    160.00/239.90 = 51.79/x
  3. Step 3: Cross multiply
    160.00x = 239.90 × 51.79
  4. Step 4: Simplify right side
    160.00x = 12,423.22
  5. Step 5: Solve for x
    x = 12,423.22/160.00
  6. Step 6: Final answer
    x = 77.65

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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.