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Finding the Fourth Proportional to 233.39, 322.16 and 153.64

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Solution

The fourth proportional to 233.39, 322.16 and 153.64 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.39 : 322.16 = 153.64 : x
  2. Step 2: Convert to fraction form
    233.39/322.16 = 153.64/x
  3. Step 3: Cross multiply
    233.39x = 322.16 × 153.64
  4. Step 4: Simplify right side
    233.39x = 49,496.66
  5. Step 5: Solve for x
    x = 49,496.66/233.39
  6. Step 6: Final answer
    x = 212.08

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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.