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Finding the Fourth Proportional to 242.51, 365.18 and 174.50

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Solution

The fourth proportional to 242.51, 365.18 and 174.50 is: 262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.51 : 365.18 = 174.50 : x
  2. Step 2: Convert to fraction form
    242.51/365.18 = 174.50/x
  3. Step 3: Cross multiply
    242.51x = 365.18 × 174.50
  4. Step 4: Simplify right side
    242.51x = 63,725.26
  5. Step 5: Solve for x
    x = 63,725.26/242.51
  6. Step 6: Final answer
    x = 262.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.