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Finding the Fourth Proportional to 456.69, 630.20 and 260.25

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Solution

The fourth proportional to 456.69, 630.20 and 260.25 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 630.20 = 260.25 : x
  2. Step 2: Convert to fraction form
    456.69/630.20 = 260.25/x
  3. Step 3: Cross multiply
    456.69x = 630.20 × 260.25
  4. Step 4: Simplify right side
    456.69x = 164,008.25
  5. Step 5: Solve for x
    x = 164,008.25/456.69
  6. Step 6: Final answer
    x = 359.12

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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.