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Finding the Fourth Proportional to 320.10, 479.42 and 266.10

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Solution

The fourth proportional to 320.10, 479.42 and 266.10 is: 398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.10 : 479.42 = 266.10 : x
  2. Step 2: Convert to fraction form
    320.10/479.42 = 266.10/x
  3. Step 3: Cross multiply
    320.10x = 479.42 × 266.10
  4. Step 4: Simplify right side
    320.10x = 127,573.66
  5. Step 5: Solve for x
    x = 127,573.66/320.10
  6. Step 6: Final answer
    x = 398.54

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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.