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Finding the Fourth Proportional to 456.75, 630.44 and 270.35

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Solution

The fourth proportional to 456.75, 630.44 and 270.35 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 630.44 = 270.35 : x
  2. Step 2: Convert to fraction form
    456.75/630.44 = 270.35/x
  3. Step 3: Cross multiply
    456.75x = 630.44 × 270.35
  4. Step 4: Simplify right side
    456.75x = 170,439.45
  5. Step 5: Solve for x
    x = 170,439.45/456.75
  6. Step 6: Final answer
    x = 373.16

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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.