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Finding the Fourth Proportional to 387.70, 582.32 and 233.93

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Solution

The fourth proportional to 387.70, 582.32 and 233.93 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.70 : 582.32 = 233.93 : x
  2. Step 2: Convert to fraction form
    387.70/582.32 = 233.93/x
  3. Step 3: Cross multiply
    387.70x = 582.32 × 233.93
  4. Step 4: Simplify right side
    387.70x = 136,224.16
  5. Step 5: Solve for x
    x = 136,224.16/387.70
  6. Step 6: Final answer
    x = 351.37

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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.