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Finding the Fourth Proportional to 175.65, 242.09 and 155.53

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Solution

The fourth proportional to 175.65, 242.09 and 155.53 is: 214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 242.09 = 155.53 : x
  2. Step 2: Convert to fraction form
    175.65/242.09 = 155.53/x
  3. Step 3: Cross multiply
    175.65x = 242.09 × 155.53
  4. Step 4: Simplify right side
    175.65x = 37,651.48
  5. Step 5: Solve for x
    x = 37,651.48/175.65
  6. Step 6: Final answer
    x = 214.36

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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.