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Finding the Fourth Proportional to 233.47, 322.21 and 146.13

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Solution

The fourth proportional to 233.47, 322.21 and 146.13 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 322.21 = 146.13 : x
  2. Step 2: Convert to fraction form
    233.47/322.21 = 146.13/x
  3. Step 3: Cross multiply
    233.47x = 322.21 × 146.13
  4. Step 4: Simplify right side
    233.47x = 47,084.55
  5. Step 5: Solve for x
    x = 47,084.55/233.47
  6. Step 6: Final answer
    x = 201.67

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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.