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Finding the Fourth Proportional to 431.16, 646.73 and 138.66

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Solution

The fourth proportional to 431.16, 646.73 and 138.66 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 646.73 = 138.66 : x
  2. Step 2: Convert to fraction form
    431.16/646.73 = 138.66/x
  3. Step 3: Cross multiply
    431.16x = 646.73 × 138.66
  4. Step 4: Simplify right side
    431.16x = 89,674.89
  5. Step 5: Solve for x
    x = 89,674.89/431.16
  6. Step 6: Final answer
    x = 207.99

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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.