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Finding the Fourth Proportional to 456.90, 685.36 and 148.75

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Solution

The fourth proportional to 456.90, 685.36 and 148.75 is: 223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 685.36 = 148.75 : x
  2. Step 2: Convert to fraction form
    456.90/685.36 = 148.75/x
  3. Step 3: Cross multiply
    456.90x = 685.36 × 148.75
  4. Step 4: Simplify right side
    456.90x = 101,946.56
  5. Step 5: Solve for x
    x = 101,946.56/456.90
  6. Step 6: Final answer
    x = 223.13

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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.