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Finding the Fourth Proportional to 431, 646.60 and 277.10

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Solution

The fourth proportional to 431, 646.60 and 277.10 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431 : 646.60 = 277.10 : x
  2. Step 2: Convert to fraction form
    431/646.60 = 277.10/x
  3. Step 3: Cross multiply
    431x = 646.60 × 277.10
  4. Step 4: Simplify right side
    431x = 179,172.86
  5. Step 5: Solve for x
    x = 179,172.86/431
  6. Step 6: Final answer
    x = 415.71

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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.