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Finding the Fourth Proportional to 233.74, 352.30 and 220.51

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Solution

The fourth proportional to 233.74, 352.30 and 220.51 is: 332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 352.30 = 220.51 : x
  2. Step 2: Convert to fraction form
    233.74/352.30 = 220.51/x
  3. Step 3: Cross multiply
    233.74x = 352.30 × 220.51
  4. Step 4: Simplify right side
    233.74x = 77,682.81
  5. Step 5: Solve for x
    x = 77,682.81/233.74
  6. Step 6: Final answer
    x = 332.35

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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.