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Finding the Fourth Proportional to 175.65, 242.20 and 150.83

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Solution

The fourth proportional to 175.65, 242.20 and 150.83 is: 207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 242.20 = 150.83 : x
  2. Step 2: Convert to fraction form
    175.65/242.20 = 150.83/x
  3. Step 3: Cross multiply
    175.65x = 242.20 × 150.83
  4. Step 4: Simplify right side
    175.65x = 36,530.91
  5. Step 5: Solve for x
    x = 36,530.91/175.65
  6. Step 6: Final answer
    x = 207.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.