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Finding the Fourth Proportional to 487.20, 672.35 and 266.16

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Solution

The fourth proportional to 487.20, 672.35 and 266.16 is: 367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.20 : 672.35 = 266.16 : x
  2. Step 2: Convert to fraction form
    487.20/672.35 = 266.16/x
  3. Step 3: Cross multiply
    487.20x = 672.35 × 266.16
  4. Step 4: Simplify right side
    487.20x = 178,953.87
  5. Step 5: Solve for x
    x = 178,953.87/487.20
  6. Step 6: Final answer
    x = 367.31

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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.