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Finding the Fourth Proportional to 233.88, 322.88 and 156.39

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Solution

The fourth proportional to 233.88, 322.88 and 156.39 is: 215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 322.88 = 156.39 : x
  2. Step 2: Convert to fraction form
    233.88/322.88 = 156.39/x
  3. Step 3: Cross multiply
    233.88x = 322.88 × 156.39
  4. Step 4: Simplify right side
    233.88x = 50,495.20
  5. Step 5: Solve for x
    x = 50,495.20/233.88
  6. Step 6: Final answer
    x = 215.90

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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.