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Finding the Fourth Proportional to 442.13, 662.70 and 236.93

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Solution

The fourth proportional to 442.13, 662.70 and 236.93 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 662.70 = 236.93 : x
  2. Step 2: Convert to fraction form
    442.13/662.70 = 236.93/x
  3. Step 3: Cross multiply
    442.13x = 662.70 × 236.93
  4. Step 4: Simplify right side
    442.13x = 157,013.51
  5. Step 5: Solve for x
    x = 157,013.51/442.13
  6. Step 6: Final answer
    x = 355.13

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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.