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Finding the Fourth Proportional to 233.88, 322.82 and 156.25

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Solution

The fourth proportional to 233.88, 322.82 and 156.25 is: 215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 322.82 = 156.25 : x
  2. Step 2: Convert to fraction form
    233.88/322.82 = 156.25/x
  3. Step 3: Cross multiply
    233.88x = 322.82 × 156.25
  4. Step 4: Simplify right side
    233.88x = 50,439.84
  5. Step 5: Solve for x
    x = 50,439.84/233.88
  6. Step 6: Final answer
    x = 215.67

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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.