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Finding the Fourth Proportional to 431.84, 647.60 and 247.01

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Solution

The fourth proportional to 431.84, 647.60 and 247.01 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.84 : 647.60 = 247.01 : x
  2. Step 2: Convert to fraction form
    431.84/647.60 = 247.01/x
  3. Step 3: Cross multiply
    431.84x = 647.60 × 247.01
  4. Step 4: Simplify right side
    431.84x = 159,960.59
  5. Step 5: Solve for x
    x = 159,960.59/431.84
  6. Step 6: Final answer
    x = 370.42

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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.