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Finding the Fourth Proportional to 155.94, 213.45 and 151.02

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Solution

The fourth proportional to 155.94, 213.45 and 151.02 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.94 : 213.45 = 151.02 : x
  2. Step 2: Convert to fraction form
    155.94/213.45 = 151.02/x
  3. Step 3: Cross multiply
    155.94x = 213.45 × 151.02
  4. Step 4: Simplify right side
    155.94x = 32,235.22
  5. Step 5: Solve for x
    x = 32,235.22/155.94
  6. Step 6: Final answer
    x = 206.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.