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Finding the Fourth Proportional to 436.96, 655.40 and 148.38

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Solution

The fourth proportional to 436.96, 655.40 and 148.38 is: 222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.96 : 655.40 = 148.38 : x
  2. Step 2: Convert to fraction form
    436.96/655.40 = 148.38/x
  3. Step 3: Cross multiply
    436.96x = 655.40 × 148.38
  4. Step 4: Simplify right side
    436.96x = 97,248.25
  5. Step 5: Solve for x
    x = 97,248.25/436.96
  6. Step 6: Final answer
    x = 222.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.